What is the Least Common Multiple of 45675 and 45695?

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 45675 and 45695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45675 and 45695, than apply into the LCM equation.

GCF(45675,45695) = 5
LCM(45675,45695) = ( 45675 × 45695) / 5
LCM(45675,45695) = 2087119125 / 5
LCM(45675,45695) = 417423825

Least Common Multiple (LCM) of 45675 and 45695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45675 and 45695. First we will calculate the prime factors of 45675 and 45695.

Prime Factorization of 45675

Prime Factorization of 45695

Now multiplying the highest exponent prime factors to calculate the LCM of 45675 and 45695.

LCM(45675,45695) = 3² × 5² × 7¹ × 29¹ × 13¹ × 19¹ × 37¹
LCM(45675,45695) = 417423825