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What is the Least Common Multiple of 8720 and 8737?

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 8720 and 8737 is 76186640.

LCM(8720,8737) = 76186640

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Least Common Multiple of 8720 and 8737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8720 and 8737, than apply into the LCM equation.

GCF(8720,8737) = 1
LCM(8720,8737) = ( 8720 × 8737) / 1
LCM(8720,8737) = 76186640 / 1
LCM(8720,8737) = 76186640

Least Common Multiple (LCM) of 8720 and 8737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8720 and 8737. First we will calculate the prime factors of 8720 and 8737.

Prime Factorization of 8720

Prime factors of 8720 are 2, 5, 109. Prime factorization of 8720 in exponential form is:

8720 = 24 × 51 × 1091

Prime Factorization of 8737

Prime factors of 8737 are 8737. Prime factorization of 8737 in exponential form is:

8737 = 87371

Now multiplying the highest exponent prime factors to calculate the LCM of 8720 and 8737.

LCM(8720,8737) = 24 × 51 × 1091 × 87371
LCM(8720,8737) = 76186640