What is the Least Common Multiple of 55896 and 55912?

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 55896 and 55912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55896 and 55912, than apply into the LCM equation.

GCF(55896,55912) = 8
LCM(55896,55912) = ( 55896 × 55912) / 8
LCM(55896,55912) = 3125257152 / 8
LCM(55896,55912) = 390657144

Least Common Multiple (LCM) of 55896 and 55912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55896 and 55912. First we will calculate the prime factors of 55896 and 55912.

Prime Factorization of 55896

Prime Factorization of 55912

Now multiplying the highest exponent prime factors to calculate the LCM of 55896 and 55912.

LCM(55896,55912) = 2³ × 3¹ × 17¹ × 137¹ × 29¹ × 241¹
LCM(55896,55912) = 390657144