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What is the Least Common Multiple of 11736 and 11756?

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 11736 and 11756 is 34492104.

LCM(11736,11756) = 34492104

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Least Common Multiple of 11736 and 11756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11736 and 11756, than apply into the LCM equation.

GCF(11736,11756) = 4
LCM(11736,11756) = ( 11736 × 11756) / 4
LCM(11736,11756) = 137968416 / 4
LCM(11736,11756) = 34492104

Least Common Multiple (LCM) of 11736 and 11756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11736 and 11756. First we will calculate the prime factors of 11736 and 11756.

Prime Factorization of 11736

Prime factors of 11736 are 2, 3, 163. Prime factorization of 11736 in exponential form is:

11736 = 23 × 32 × 1631

Prime Factorization of 11756

Prime factors of 11756 are 2, 2939. Prime factorization of 11756 in exponential form is:

11756 = 22 × 29391

Now multiplying the highest exponent prime factors to calculate the LCM of 11736 and 11756.

LCM(11736,11756) = 23 × 32 × 1631 × 29391
LCM(11736,11756) = 34492104