Free LCM Calculator determines the least usual multiple (LCM) in between 3 and 7 the the smallest integer that is 21 the is divisible through both numbers.

You are watching: What is the least common multiple of 7 and 3?

Least typical Multiple (LCM) of 3 and 7 is **21**.

LCM(3,7) = 21

Least typical multiple deserve to be discovered by multiplying the greatest exponent prime determinants of 3 and 7. An initial we will calculate the **prime determinants of 3 and 7**.

**Prime administer of 3**

3 | 3 |

1 |

Prime factors of 3 are 3. Prime factorization of **3** in exponential type is:

3 = 31**Prime factorization of 7**

7 | 7 |

1 |

Prime components of 7 space 7. Element factorization the **7** in exponential type is:

7 = 71Now multiply the highest exponent prime determinants to calculation the **LCM the 3 and 7**.

LCM(3,7) = 31×71LCM(3,7) = 21

**Factors that 3**

List of hopeful integer determinants of 3 that divides 3 without a remainder.

1, 3

**Factors that 7**

List of hopeful integer determinants of 7 that divides 7 without a remainder.

1, 7

### Least common Multiple of 3 and also 7 v GCF Formula

The formula of **LCM** is LCM(a,b) = ( a × b) / GCF(a,b).We must calculate greatest usual factor 3 and 7, than use into the LCM equation.

GCF(3,7) = 1LCM(3,7) = ( 3 × 7) / 1LCM(3,7) = 21 / 1LCM(3,7) = 21

### Properties that LCM 3 and 7

(i) The LCM the 7 and also 3 is associative

LCM of 3 and 7 = LCM that 7 and 3

Related Least typical Multiples that 3

Related Least typical Multiples of 7

### Frequently Asked questions on LCM that 3 and 7

1. What is the LCM that 3 and also 7?

Answer: LCM that 3 and also 7 is 21.

2. What room the determinants of 3?

Answer: determinants of 3 room 1, 3. There space 2 integers that are components of 3. The greatest variable of 3 is 3.

3. What space the components of 7?

Answer: factors of 7 are 1, 7. There space 2 integers the are components of 7. The greatest aspect of 7 is 7.

See more: How Many Feet Is 100 Meters To Feet, How Tall Is 100 Meters In Ft And In

4. Just how to uncover the LCM of 3 and 7?

Answer:

Least common Multiple that 3 and also 7 = 21

Step 1: discover the prime factorization that 3

3 = 3

Step 2: discover the prime factorization of 7

7 = 7

Step 3: main point each factor the greater variety of times it occurs in steps i) or ii) above to uncover the lcm:

LCM = 21 = 3 x 7

Step 4: Therefore, the least typical multiple that 3 and 7 is 21.

favourite Calculators

Most renowned

agency Follow united state