What is the Least Common Multiple of 51564 and 51578?

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 51578 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 51578, than apply into the LCM equation.

GCF(51564,51578) = 2
LCM(51564,51578) = ( 51564 × 51578) / 2
LCM(51564,51578) = 2659567992 / 2
LCM(51564,51578) = 1329783996

Least Common Multiple (LCM) of 51564 and 51578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51564 and 51578. First we will calculate the prime factors of 51564 and 51578.

Prime Factorization of 51564

Prime Factorization of 51578

Now multiplying the highest exponent prime factors to calculate the LCM of 51564 and 51578.

LCM(51564,51578) = 2² × 3¹ × 4297¹ × 17¹ × 37¹ × 41¹
LCM(51564,51578) = 1329783996