What is the Least Common Multiple of 45661 and 45675?

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 45661 and 45675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45661 and 45675, than apply into the LCM equation.

GCF(45661,45675) = 7
LCM(45661,45675) = ( 45661 × 45675) / 7
LCM(45661,45675) = 2085566175 / 7
LCM(45661,45675) = 297938025

Least Common Multiple (LCM) of 45661 and 45675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45661 and 45675. First we will calculate the prime factors of 45661 and 45675.

Prime Factorization of 45661

Prime Factorization of 45675

Now multiplying the highest exponent prime factors to calculate the LCM of 45661 and 45675.

LCM(45661,45675) = 7¹ × 11¹ × 593¹ × 3² × 5² × 29¹
LCM(45661,45675) = 297938025