What is the Least Common Multiple of 55875 and 55893?

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 55875 and 55893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55875 and 55893, than apply into the LCM equation.

GCF(55875,55893) = 3
LCM(55875,55893) = ( 55875 × 55893) / 3
LCM(55875,55893) = 3123021375 / 3
LCM(55875,55893) = 1041007125

Least Common Multiple (LCM) of 55875 and 55893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55875 and 55893. First we will calculate the prime factors of 55875 and 55893.

Prime Factorization of 55875

Prime Factorization of 55893

Now multiplying the highest exponent prime factors to calculate the LCM of 55875 and 55893.

LCM(55875,55893) = 3¹ × 5³ × 149¹ × 31¹ × 601¹
LCM(55875,55893) = 1041007125