What is the Least Common Multiple of 57495 and 57501?

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 57495 and 57501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57495 and 57501, than apply into the LCM equation.

GCF(57495,57501) = 3
LCM(57495,57501) = ( 57495 × 57501) / 3
LCM(57495,57501) = 3306019995 / 3
LCM(57495,57501) = 1102006665

Least Common Multiple (LCM) of 57495 and 57501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57495 and 57501. First we will calculate the prime factors of 57495 and 57501.

Prime Factorization of 57495

Prime Factorization of 57501

Now multiplying the highest exponent prime factors to calculate the LCM of 57495 and 57501.

LCM(57495,57501) = 3² × 5¹ × 3833¹ × 6389¹
LCM(57495,57501) = 1102006665