What is the Least Common Multiple of 54912 and 54916?

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 54912 and 54916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54912 and 54916, than apply into the LCM equation.

GCF(54912,54916) = 4
LCM(54912,54916) = ( 54912 × 54916) / 4
LCM(54912,54916) = 3015547392 / 4
LCM(54912,54916) = 753886848

Least Common Multiple (LCM) of 54912 and 54916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54912 and 54916. First we will calculate the prime factors of 54912 and 54916.

Prime Factorization of 54912

Prime Factorization of 54916

Now multiplying the highest exponent prime factors to calculate the LCM of 54912 and 54916.

LCM(54912,54916) = 2⁷ × 3¹ × 11¹ × 13¹ × 13729¹
LCM(54912,54916) = 753886848