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What is the Least Common Multiple of 56478 and 56496?

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 56478 and 56496 is 531796848.

LCM(56478,56496) = 531796848

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Least Common Multiple of 56478 and 56496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56478 and 56496, than apply into the LCM equation.

GCF(56478,56496) = 6
LCM(56478,56496) = ( 56478 × 56496) / 6
LCM(56478,56496) = 3190781088 / 6
LCM(56478,56496) = 531796848

Least Common Multiple (LCM) of 56478 and 56496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56478 and 56496. First we will calculate the prime factors of 56478 and 56496.

Prime Factorization of 56478

Prime factors of 56478 are 2, 3, 9413. Prime factorization of 56478 in exponential form is:

56478 = 21 × 31 × 94131

Prime Factorization of 56496

Prime factors of 56496 are 2, 3, 11, 107. Prime factorization of 56496 in exponential form is:

56496 = 24 × 31 × 111 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 56478 and 56496.

LCM(56478,56496) = 24 × 31 × 94131 × 111 × 1071
LCM(56478,56496) = 531796848