What is the Least Common Multiple of 54912 and 54924?

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 54924 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 54924, than apply into the LCM equation.

GCF(54912,54924) = 12
LCM(54912,54924) = ( 54912 × 54924) / 12
LCM(54912,54924) = 3015986688 / 12
LCM(54912,54924) = 251332224

Least Common Multiple (LCM) of 54912 and 54924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54912 and 54924. First we will calculate the prime factors of 54912 and 54924.

Prime Factorization of 54912

Prime Factorization of 54924

Now multiplying the highest exponent prime factors to calculate the LCM of 54912 and 54924.

LCM(54912,54924) = 2⁷ × 3¹ × 11¹ × 13¹ × 23¹ × 199¹
LCM(54912,54924) = 251332224