What is the Least Common Multiple of 54489 and 54501?

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 54489 and 54501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54489 and 54501, than apply into the LCM equation.

GCF(54489,54501) = 3
LCM(54489,54501) = ( 54489 × 54501) / 3
LCM(54489,54501) = 2969704989 / 3
LCM(54489,54501) = 989901663

Least Common Multiple (LCM) of 54489 and 54501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54489 and 54501. First we will calculate the prime factors of 54489 and 54501.

Prime Factorization of 54489

Prime Factorization of 54501

Now multiplying the highest exponent prime factors to calculate the LCM of 54489 and 54501.

LCM(54489,54501) = 3¹ × 41¹ × 443¹ × 37¹ × 491¹
LCM(54489,54501) = 989901663