What is the Least Common Multiple of 62892 and 62912?

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 62892 and 62912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62892 and 62912, than apply into the LCM equation.

GCF(62892,62912) = 4
LCM(62892,62912) = ( 62892 × 62912) / 4
LCM(62892,62912) = 3956661504 / 4
LCM(62892,62912) = 989165376

Least Common Multiple (LCM) of 62892 and 62912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62892 and 62912. First we will calculate the prime factors of 62892 and 62912.

Prime Factorization of 62892

Prime Factorization of 62912

Now multiplying the highest exponent prime factors to calculate the LCM of 62892 and 62912.

LCM(62892,62912) = 2⁶ × 3² × 1747¹ × 983¹
LCM(62892,62912) = 989165376