What is the Least Common Multiple of 45807 and 45825?

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 45807 and 45825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45807 and 45825, than apply into the LCM equation.

GCF(45807,45825) = 3
LCM(45807,45825) = ( 45807 × 45825) / 3
LCM(45807,45825) = 2099105775 / 3
LCM(45807,45825) = 699701925

Least Common Multiple (LCM) of 45807 and 45825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45807 and 45825. First we will calculate the prime factors of 45807 and 45825.

Prime Factorization of 45807

Prime Factorization of 45825

Now multiplying the highest exponent prime factors to calculate the LCM of 45807 and 45825.

LCM(45807,45825) = 3¹ × 15269¹ × 5² × 13¹ × 47¹
LCM(45807,45825) = 699701925