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What is the Least Common Multiple of 66720 and 66737?

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 66720 and 66737 is 4452692640.

LCM(66720,66737) = 4452692640

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Least Common Multiple of 66720 and 66737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66720 and 66737, than apply into the LCM equation.

GCF(66720,66737) = 1
LCM(66720,66737) = ( 66720 × 66737) / 1
LCM(66720,66737) = 4452692640 / 1
LCM(66720,66737) = 4452692640

Least Common Multiple (LCM) of 66720 and 66737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66720 and 66737. First we will calculate the prime factors of 66720 and 66737.

Prime Factorization of 66720

Prime factors of 66720 are 2, 3, 5, 139. Prime factorization of 66720 in exponential form is:

66720 = 25 × 31 × 51 × 1391

Prime Factorization of 66737

Prime factors of 66737 are 11, 6067. Prime factorization of 66737 in exponential form is:

66737 = 111 × 60671

Now multiplying the highest exponent prime factors to calculate the LCM of 66720 and 66737.

LCM(66720,66737) = 25 × 31 × 51 × 1391 × 111 × 60671
LCM(66720,66737) = 4452692640