What is the Least Common Multiple of 55896 and 55908?

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 55908 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 55908, than apply into the LCM equation.

GCF(55896,55908) = 12
LCM(55896,55908) = ( 55896 × 55908) / 12
LCM(55896,55908) = 3125033568 / 12
LCM(55896,55908) = 260419464

Least Common Multiple (LCM) of 55896 and 55908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55896 and 55908. First we will calculate the prime factors of 55896 and 55908.

Prime Factorization of 55896

Prime Factorization of 55908

Now multiplying the highest exponent prime factors to calculate the LCM of 55896 and 55908.

LCM(55896,55908) = 2³ × 3² × 17¹ × 137¹ × 1553¹
LCM(55896,55908) = 260419464