What is the Least Common Multiple of 51564 and 51580?

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 51564 and 51580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51564 and 51580, than apply into the LCM equation.

GCF(51564,51580) = 4
LCM(51564,51580) = ( 51564 × 51580) / 4
LCM(51564,51580) = 2659671120 / 4
LCM(51564,51580) = 664917780

Least Common Multiple (LCM) of 51564 and 51580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51564 and 51580. First we will calculate the prime factors of 51564 and 51580.

Prime Factorization of 51564

Prime Factorization of 51580

Now multiplying the highest exponent prime factors to calculate the LCM of 51564 and 51580.

LCM(51564,51580) = 2² × 3¹ × 4297¹ × 5¹ × 2579¹
LCM(51564,51580) = 664917780