What is the Least Common Multiple of 62688 and 62700?

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 62688 and 62700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62688 and 62700, than apply into the LCM equation.

GCF(62688,62700) = 12
LCM(62688,62700) = ( 62688 × 62700) / 12
LCM(62688,62700) = 3930537600 / 12
LCM(62688,62700) = 327544800

Least Common Multiple (LCM) of 62688 and 62700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62688 and 62700. First we will calculate the prime factors of 62688 and 62700.

Prime Factorization of 62688

Prime Factorization of 62700

Now multiplying the highest exponent prime factors to calculate the LCM of 62688 and 62700.

LCM(62688,62700) = 2⁵ × 3¹ × 653¹ × 5² × 11¹ × 19¹
LCM(62688,62700) = 327544800