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What is the Least Common Multiple of 11964 and 11976?

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 11964 and 11976 is 11940072.

LCM(11964,11976) = 11940072

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Least Common Multiple of 11964 and 11976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11964 and 11976, than apply into the LCM equation.

GCF(11964,11976) = 12
LCM(11964,11976) = ( 11964 × 11976) / 12
LCM(11964,11976) = 143280864 / 12
LCM(11964,11976) = 11940072

Least Common Multiple (LCM) of 11964 and 11976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11964 and 11976. First we will calculate the prime factors of 11964 and 11976.

Prime Factorization of 11964

Prime factors of 11964 are 2, 3, 997. Prime factorization of 11964 in exponential form is:

11964 = 22 × 31 × 9971

Prime Factorization of 11976

Prime factors of 11976 are 2, 3, 499. Prime factorization of 11976 in exponential form is:

11976 = 23 × 31 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 11964 and 11976.

LCM(11964,11976) = 23 × 31 × 9971 × 4991
LCM(11964,11976) = 11940072