What is the Least Common Multiple of 65175 and 65189?

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 65189 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 65189, than apply into the LCM equation.

GCF(65175,65189) = 1
LCM(65175,65189) = ( 65175 × 65189) / 1
LCM(65175,65189) = 4248693075 / 1
LCM(65175,65189) = 4248693075

Least Common Multiple (LCM) of 65175 and 65189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65175 and 65189. First we will calculate the prime factors of 65175 and 65189.

Prime Factorization of 65175

Prime Factorization of 65189

Now multiplying the highest exponent prime factors to calculate the LCM of 65175 and 65189.

LCM(65175,65189) = 3¹ × 5² × 11¹ × 79¹ × 19¹ × 47¹ × 73¹
LCM(65175,65189) = 4248693075