What is the Least Common Multiple of 57165 and 57170?

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 57165 and 57170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57165 and 57170, than apply into the LCM equation.

GCF(57165,57170) = 5
LCM(57165,57170) = ( 57165 × 57170) / 5
LCM(57165,57170) = 3268123050 / 5
LCM(57165,57170) = 653624610

Least Common Multiple (LCM) of 57165 and 57170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57165 and 57170. First we will calculate the prime factors of 57165 and 57170.

Prime Factorization of 57165

Prime Factorization of 57170

Now multiplying the highest exponent prime factors to calculate the LCM of 57165 and 57170.

LCM(57165,57170) = 3¹ × 5¹ × 37¹ × 103¹ × 2¹ × 5717¹
LCM(57165,57170) = 653624610