What is the Least Common Multiple of 65175 and 65187?

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 65175 and 65187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65175 and 65187, than apply into the LCM equation.

GCF(65175,65187) = 3
LCM(65175,65187) = ( 65175 × 65187) / 3
LCM(65175,65187) = 4248562725 / 3
LCM(65175,65187) = 1416187575

Least Common Multiple (LCM) of 65175 and 65187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65175 and 65187. First we will calculate the prime factors of 65175 and 65187.

Prime Factorization of 65175

Prime Factorization of 65187

Now multiplying the highest exponent prime factors to calculate the LCM of 65175 and 65187.

LCM(65175,65187) = 3² × 5² × 11¹ × 79¹ × 7243¹
LCM(65175,65187) = 1416187575