What is the Least Common Multiple of 62704 and 62724?

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 62704 and 62724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62704 and 62724, than apply into the LCM equation.

GCF(62704,62724) = 4
LCM(62704,62724) = ( 62704 × 62724) / 4
LCM(62704,62724) = 3933045696 / 4
LCM(62704,62724) = 983261424

Least Common Multiple (LCM) of 62704 and 62724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62704 and 62724. First we will calculate the prime factors of 62704 and 62724.

Prime Factorization of 62704

Prime Factorization of 62724

Now multiplying the highest exponent prime factors to calculate the LCM of 62704 and 62724.

LCM(62704,62724) = 2⁴ × 3919¹ × 3¹ × 5227¹
LCM(62704,62724) = 983261424