What is the Least Common Multiple of 57475 and 57495?

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 57475 and 57495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57475 and 57495, than apply into the LCM equation.

GCF(57475,57495) = 5
LCM(57475,57495) = ( 57475 × 57495) / 5
LCM(57475,57495) = 3304525125 / 5
LCM(57475,57495) = 660905025

Least Common Multiple (LCM) of 57475 and 57495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57475 and 57495. First we will calculate the prime factors of 57475 and 57495.

Prime Factorization of 57475

Prime Factorization of 57495

Now multiplying the highest exponent prime factors to calculate the LCM of 57475 and 57495.

LCM(57475,57495) = 5² × 11² × 19¹ × 3¹ × 3833¹
LCM(57475,57495) = 660905025