What is the Least Common Multiple of 56496 and 56508?

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 of 56496 and 56508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56496 and 56508, than apply into the LCM equation.

GCF(56496,56508) = 12
LCM(56496,56508) = ( 56496 × 56508) / 12
LCM(56496,56508) = 3192475968 / 12
LCM(56496,56508) = 266039664

Least Common Multiple (LCM) of 56496 and 56508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56496 and 56508. First we will calculate the prime factors of 56496 and 56508.

Prime Factorization of 56496

Prime Factorization of 56508

Now multiplying the highest exponent prime factors to calculate the LCM of 56496 and 56508.

LCM(56496,56508) = 2⁴ × 3¹ × 11¹ × 107¹ × 17¹ × 277¹
LCM(56496,56508) = 266039664