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What is the Least Common Multiple of 11712 and 11721?

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 11712 and 11721 is 45758784.

LCM(11712,11721) = 45758784

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Least Common Multiple of 11712 and 11721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11712 and 11721, than apply into the LCM equation.

GCF(11712,11721) = 3
LCM(11712,11721) = ( 11712 × 11721) / 3
LCM(11712,11721) = 137276352 / 3
LCM(11712,11721) = 45758784

Least Common Multiple (LCM) of 11712 and 11721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11712 and 11721. First we will calculate the prime factors of 11712 and 11721.

Prime Factorization of 11712

Prime factors of 11712 are 2, 3, 61. Prime factorization of 11712 in exponential form is:

11712 = 26 × 31 × 611

Prime Factorization of 11721

Prime factors of 11721 are 3, 3907. Prime factorization of 11721 in exponential form is:

11721 = 31 × 39071

Now multiplying the highest exponent prime factors to calculate the LCM of 11712 and 11721.

LCM(11712,11721) = 26 × 31 × 611 × 39071
LCM(11712,11721) = 45758784