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What is the Least Common Multiple of 10956 and 10962?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 10956 and 10962 is 20016612.

LCM(10956,10962) = 20016612

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Least Common Multiple of 10956 and 10962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10956 and 10962, than apply into the LCM equation.

GCF(10956,10962) = 6
LCM(10956,10962) = ( 10956 × 10962) / 6
LCM(10956,10962) = 120099672 / 6
LCM(10956,10962) = 20016612

Least Common Multiple (LCM) of 10956 and 10962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10956 and 10962. First we will calculate the prime factors of 10956 and 10962.

Prime Factorization of 10956

Prime factors of 10956 are 2, 3, 11, 83. Prime factorization of 10956 in exponential form is:

10956 = 22 × 31 × 111 × 831

Prime Factorization of 10962

Prime factors of 10962 are 2, 3, 7, 29. Prime factorization of 10962 in exponential form is:

10962 = 21 × 33 × 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 10956 and 10962.

LCM(10956,10962) = 22 × 33 × 111 × 831 × 71 × 291
LCM(10956,10962) = 20016612