What is the Least Common Multiple of 62790 and 62800?

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 62790 and 62800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62790 and 62800, than apply into the LCM equation.

GCF(62790,62800) = 10
LCM(62790,62800) = ( 62790 × 62800) / 10
LCM(62790,62800) = 3943212000 / 10
LCM(62790,62800) = 394321200

Least Common Multiple (LCM) of 62790 and 62800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62790 and 62800. First we will calculate the prime factors of 62790 and 62800.

Prime Factorization of 62790

Prime Factorization of 62800

Now multiplying the highest exponent prime factors to calculate the LCM of 62790 and 62800.

LCM(62790,62800) = 2⁴ × 3¹ × 5² × 7¹ × 13¹ × 23¹ × 157¹
LCM(62790,62800) = 394321200