What is the Least Common Multiple of 54987 and 55002?

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 54987 and 55002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54987 and 55002, than apply into the LCM equation.

GCF(54987,55002) = 3
LCM(54987,55002) = ( 54987 × 55002) / 3
LCM(54987,55002) = 3024394974 / 3
LCM(54987,55002) = 1008131658

Least Common Multiple (LCM) of 54987 and 55002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54987 and 55002. First we will calculate the prime factors of 54987 and 55002.

Prime Factorization of 54987

Prime Factorization of 55002

Now multiplying the highest exponent prime factors to calculate the LCM of 54987 and 55002.

LCM(54987,55002) = 3¹ × 18329¹ × 2¹ × 89¹ × 103¹
LCM(54987,55002) = 1008131658