What is the Least Common Multiple of 62670 and 62688?

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 62670 and 62688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62670 and 62688, than apply into the LCM equation.

GCF(62670,62688) = 6
LCM(62670,62688) = ( 62670 × 62688) / 6
LCM(62670,62688) = 3928656960 / 6
LCM(62670,62688) = 654776160

Least Common Multiple (LCM) of 62670 and 62688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62670 and 62688. First we will calculate the prime factors of 62670 and 62688.

Prime Factorization of 62670

Prime Factorization of 62688

Now multiplying the highest exponent prime factors to calculate the LCM of 62670 and 62688.

LCM(62670,62688) = 2⁵ × 3¹ × 5¹ × 2089¹ × 653¹
LCM(62670,62688) = 654776160