What is the Least Common Multiple of 65175 and 65184?

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 65184 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 65184, than apply into the LCM equation.

GCF(65175,65184) = 3
LCM(65175,65184) = ( 65175 × 65184) / 3
LCM(65175,65184) = 4248367200 / 3
LCM(65175,65184) = 1416122400

Least Common Multiple (LCM) of 65175 and 65184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65175 and 65184. First we will calculate the prime factors of 65175 and 65184.

Prime Factorization of 65175

Prime Factorization of 65184

Now multiplying the highest exponent prime factors to calculate the LCM of 65175 and 65184.

LCM(65175,65184) = 3¹ × 5² × 11¹ × 79¹ × 2⁵ × 7¹ × 97¹
LCM(65175,65184) = 1416122400