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What is the Least Common Multiple of 11612 and 11632?

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 11612 and 11632 is 33767696.

LCM(11612,11632) = 33767696

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Least Common Multiple of 11612 and 11632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11612 and 11632, than apply into the LCM equation.

GCF(11612,11632) = 4
LCM(11612,11632) = ( 11612 × 11632) / 4
LCM(11612,11632) = 135070784 / 4
LCM(11612,11632) = 33767696

Least Common Multiple (LCM) of 11612 and 11632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11612 and 11632. First we will calculate the prime factors of 11612 and 11632.

Prime Factorization of 11612

Prime factors of 11612 are 2, 2903. Prime factorization of 11612 in exponential form is:

11612 = 22 × 29031

Prime Factorization of 11632

Prime factors of 11632 are 2, 727. Prime factorization of 11632 in exponential form is:

11632 = 24 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 11612 and 11632.

LCM(11612,11632) = 24 × 29031 × 7271
LCM(11612,11632) = 33767696