Free LCM Calculator determines the least usual multiple (LCM) in between 4 and 10 the the smallest integer the is 20 the is divisible through both numbers.

You are watching: The lcm of 4 and 10

Least common Multiple (LCM) of 4 and also 10 is **20**.

LCM(4,10) = 20

Least common multiple have the right to be uncovered by multiply the highest exponent prime determinants of 4 and 10. An initial we will calculate the **prime determinants of 4 and also 10**.

**Prime factorization of 4**

2 | 4 |

2 | 2 |

1 |

Prime determinants of 4 are 2. Element factorization the **4** in exponential form is:

4 = 22**Prime factorization of 10**

2 | 10 |

5 | 5 |

1 |

Prime determinants of 10 space 2,5. Prime factorization the **10** in exponential type is:

10 = 21×51Now multiplying the highest exponent prime factors to calculate the **LCM the 4 and also 10**.

LCM(4,10) = 22×51LCM(4,10) = 20

**Factors of 4**

List of confident integer factors of 4 that divides 4 there is no a remainder.

1, 2, 4

**Factors that 10**

List of optimistic integer factors of 10 that divides 10 without a remainder.

1, 2, 5, 10

### Least usual Multiple of 4 and also 10 with GCF Formula

The formula of **LCM** is LCM(a,b) = ( a × b) / GCF(a,b).We need to calculate greatest usual factor 4 and also 10, than apply into the LCM equation.

GCF(4,10) = 2LCM(4,10) = ( 4 × 10) / 2LCM(4,10) = 40 / 2LCM(4,10) = 20

### Properties the LCM 4 and 10

(i) The LCM of 10 and 4 is associative

LCM of 4 and 10 = LCM of 10 and 4

Related Least common Multiples of 4

Related Least common Multiples the 10

### Frequently Asked concerns on LCM of 4 and also 10

1. What is the LCM of 4 and also 10?

Answer: LCM of 4 and also 10 is 20.

2. What space the determinants of 4?

Answer: components of 4 are 1, 2, 4. There space 3 integers the are determinants of 4. The greatest element of 4 is 4.

3. What room the components of 10?

Answer: determinants of 10 room 1, 2, 5, 10. There room 4 integers the are factors of 10. The greatest variable of 10 is 10.

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4. Just how to find the LCM the 4 and 10?

Answer:

Least common Multiple of 4 and also 10 = 20

Step 1: discover the prime factorization that 4

4 = 2 x 2

Step 2: find the prime factorization that 10

10 = 2 x 5

Step 3: main point each aspect the greater number of times it occurs in procedures i) or ii) over to find the lcm:

LCM = 20 = 2 x 2 x 5

Step 4: Therefore, the least typical multiple of 4 and also 10 is 20.

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