What is the Least Common Multiple of 62800 and 62816?

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 62800 and 62816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62800 and 62816, than apply into the LCM equation.

GCF(62800,62816) = 16
LCM(62800,62816) = ( 62800 × 62816) / 16
LCM(62800,62816) = 3944844800 / 16
LCM(62800,62816) = 246552800

Least Common Multiple (LCM) of 62800 and 62816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62800 and 62816. First we will calculate the prime factors of 62800 and 62816.

Prime Factorization of 62800

Prime Factorization of 62816

Now multiplying the highest exponent prime factors to calculate the LCM of 62800 and 62816.

LCM(62800,62816) = 2⁵ × 5² × 157¹ × 13¹ × 151¹
LCM(62800,62816) = 246552800