What is the Least Common Multiple of 56508 and 56527?

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 56508 and 56527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56508 and 56527, than apply into the LCM equation.

GCF(56508,56527) = 1
LCM(56508,56527) = ( 56508 × 56527) / 1
LCM(56508,56527) = 3194227716 / 1
LCM(56508,56527) = 3194227716

Least Common Multiple (LCM) of 56508 and 56527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56508 and 56527. First we will calculate the prime factors of 56508 and 56527.

Prime Factorization of 56508

Prime Factorization of 56527

Now multiplying the highest exponent prime factors to calculate the LCM of 56508 and 56527.

LCM(56508,56527) = 2² × 3¹ × 17¹ × 277¹ × 56527¹
LCM(56508,56527) = 3194227716