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What is the Least Common Multiple of 11956 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 11956 and 11976 is 35796264.

LCM(11956,11976) = 35796264

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Least Common Multiple of 11956 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 11956 and 11976, than apply into the LCM equation.

GCF(11956,11976) = 4
LCM(11956,11976) = ( 11956 × 11976) / 4
LCM(11956,11976) = 143185056 / 4
LCM(11956,11976) = 35796264

Least Common Multiple (LCM) of 11956 and 11976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11956 and 11976. First we will calculate the prime factors of 11956 and 11976.

Prime Factorization of 11956

Prime factors of 11956 are 2, 7, 61. Prime factorization of 11956 in exponential form is:

11956 = 22 × 72 × 611

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 11956 and 11976.

LCM(11956,11976) = 23 × 72 × 611 × 31 × 4991
LCM(11956,11976) = 35796264