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What is the Least Common Multiple of 5696 and 5700?

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 5696 and 5700 is 8116800.

LCM(5696,5700) = 8116800

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Least Common Multiple of 5696 and 5700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5696 and 5700, than apply into the LCM equation.

GCF(5696,5700) = 4
LCM(5696,5700) = ( 5696 × 5700) / 4
LCM(5696,5700) = 32467200 / 4
LCM(5696,5700) = 8116800

Least Common Multiple (LCM) of 5696 and 5700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5696 and 5700. First we will calculate the prime factors of 5696 and 5700.

Prime Factorization of 5696

Prime factors of 5696 are 2, 89. Prime factorization of 5696 in exponential form is:

5696 = 26 × 891

Prime Factorization of 5700

Prime factors of 5700 are 2, 3, 5, 19. Prime factorization of 5700 in exponential form is:

5700 = 22 × 31 × 52 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 5696 and 5700.

LCM(5696,5700) = 26 × 891 × 31 × 52 × 191
LCM(5696,5700) = 8116800