Free LCM Calculator identify the least typical multiple (LCM) between 6 and 12 the the smallest integer that is 12 that is divisible by both numbers.

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Least usual Multiple (LCM) of 6 and 12 is 12.

LCM(6,12) = 12


Least common multiple have the right to be discovered by multiply the highest possible exponent prime determinants of 6 and 12. An initial we will certainly calculate the prime components of 6 and 12.

Prime administrate of 6

2 6
3 3
1

Prime components of 6 room 2,3. Element factorization the 6 in exponential type is:

6 = 21×31Prime factorization of 12

2 12
2 6
3 3
1

Prime determinants of 12 space 2,3. Prime factorization the 12 in exponential kind is:

12 = 22×31Now multiply the highest possible exponent prime components to calculate the LCM the 6 and also 12.

LCM(6,12) = 22×31LCM(6,12) = 12

Factors that 6

List of hopeful integer factors of 6 the divides 6 without a remainder.

1, 2, 3, 6

Factors the 12

List of confident integer factors of 12 the divides 12 without a remainder.

1, 2, 3, 4, 6, 12


Least typical Multiple that 6 and 12 with GCF Formula


The formula the LCM is LCM(a,b) = ( a × b) / GCF(a,b).We must calculate greatest usual factor 6 and also 12, than use into the LCM equation.

GCF(6,12) = 6LCM(6,12) = ( 6 × 12) / 6LCM(6,12) = 72 / 6LCM(6,12) = 12


Properties of LCM 6 and 12


(i) The LCM of 12 and 6 is associative

LCM that 6 and also 12 = LCM of 12 and 6


Related Least common Multiples of 6
Related Least typical Multiples that 12

Frequently Asked inquiries on LCM the 6 and also 12


1. What is the LCM that 6 and 12?

Answer: LCM of 6 and 12 is 12.

2. What space the determinants of 6?

Answer: factors of 6 are 1, 2, 3, 6. There are 4 integers the are components of 6. The greatest variable of 6 is 6.

3. What are the determinants of 12?

Answer: factors of 12 are 1, 2, 3, 4, 6, 12. There are 6 integers the are components of 12. The greatest variable of 12 is 12.

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4. Exactly how to find the LCM of 6 and 12?

Answer:

Least typical Multiple of 6 and also 12 = 12

Step 1: uncover the prime factorization the 6

6 = 2 x 3

Step 2: discover the prime factorization that 12

12 = 2 x 2 x 3

Step 3: multiply each aspect the greater variety of times it occurs in measures i) or ii) over to discover the lcm:

LCM = 12 = 2 x 2 x 3

Step 4: Therefore, the least common multiple of 6 and 12 is 12.


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