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What is the Least Common Multiple of 8716 and 8720?

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 8716 and 8720 is 19000880.

LCM(8716,8720) = 19000880

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Least Common Multiple of 8716 and 8720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8716 and 8720, than apply into the LCM equation.

GCF(8716,8720) = 4
LCM(8716,8720) = ( 8716 × 8720) / 4
LCM(8716,8720) = 76003520 / 4
LCM(8716,8720) = 19000880

Least Common Multiple (LCM) of 8716 and 8720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8716 and 8720. First we will calculate the prime factors of 8716 and 8720.

Prime Factorization of 8716

Prime factors of 8716 are 2, 2179. Prime factorization of 8716 in exponential form is:

8716 = 22 × 21791

Prime Factorization of 8720

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

8720 = 24 × 51 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 8716 and 8720.

LCM(8716,8720) = 24 × 21791 × 51 × 1091
LCM(8716,8720) = 19000880