What is the Least Common Multiple of 57075 and 57090?

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 57075 and 57090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57075 and 57090, than apply into the LCM equation.

GCF(57075,57090) = 15
LCM(57075,57090) = ( 57075 × 57090) / 15
LCM(57075,57090) = 3258411750 / 15
LCM(57075,57090) = 217227450

Least Common Multiple (LCM) of 57075 and 57090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57075 and 57090. First we will calculate the prime factors of 57075 and 57090.

Prime Factorization of 57075

Prime Factorization of 57090

Now multiplying the highest exponent prime factors to calculate the LCM of 57075 and 57090.

LCM(57075,57090) = 3¹ × 5² × 761¹ × 2¹ × 11¹ × 173¹
LCM(57075,57090) = 217227450