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What is the Least Common Multiple of 11970 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 11970 and 11976 is 23892120.

LCM(11970,11976) = 23892120

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Least Common Multiple of 11970 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 11970 and 11976, than apply into the LCM equation.

GCF(11970,11976) = 6
LCM(11970,11976) = ( 11970 × 11976) / 6
LCM(11970,11976) = 143352720 / 6
LCM(11970,11976) = 23892120

Least Common Multiple (LCM) of 11970 and 11976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11970 and 11976. First we will calculate the prime factors of 11970 and 11976.

Prime Factorization of 11970

Prime factors of 11970 are 2, 3, 5, 7, 19. Prime factorization of 11970 in exponential form is:

11970 = 21 × 32 × 51 × 71 × 191

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 11970 and 11976.

LCM(11970,11976) = 23 × 32 × 51 × 71 × 191 × 4991
LCM(11970,11976) = 23892120