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What is the Least Common Multiple of 11710 and 11724?

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 11710 and 11724 is 68644020.

LCM(11710,11724) = 68644020

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Least Common Multiple of 11710 and 11724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11710 and 11724, than apply into the LCM equation.

GCF(11710,11724) = 2
LCM(11710,11724) = ( 11710 × 11724) / 2
LCM(11710,11724) = 137288040 / 2
LCM(11710,11724) = 68644020

Least Common Multiple (LCM) of 11710 and 11724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11710 and 11724. First we will calculate the prime factors of 11710 and 11724.

Prime Factorization of 11710

Prime factors of 11710 are 2, 5, 1171. Prime factorization of 11710 in exponential form is:

11710 = 21 × 51 × 11711

Prime Factorization of 11724

Prime factors of 11724 are 2, 3, 977. Prime factorization of 11724 in exponential form is:

11724 = 22 × 31 × 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 11710 and 11724.

LCM(11710,11724) = 22 × 51 × 11711 × 31 × 9771
LCM(11710,11724) = 68644020