What is the Least Common Multiple of 51632 and 51646?

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 51632 and 51646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51632 and 51646, than apply into the LCM equation.

GCF(51632,51646) = 14
LCM(51632,51646) = ( 51632 × 51646) / 14
LCM(51632,51646) = 2666586272 / 14
LCM(51632,51646) = 190470448

Least Common Multiple (LCM) of 51632 and 51646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51632 and 51646. First we will calculate the prime factors of 51632 and 51646.

Prime Factorization of 51632

Prime Factorization of 51646

Now multiplying the highest exponent prime factors to calculate the LCM of 51632 and 51646.

LCM(51632,51646) = 2⁴ × 7² × 461¹ × 17¹ × 31¹
LCM(51632,51646) = 190470448