What is the Least Common Multiple of 45824 and 45828?

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 45824 and 45828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45824 and 45828, than apply into the LCM equation.

GCF(45824,45828) = 4
LCM(45824,45828) = ( 45824 × 45828) / 4
LCM(45824,45828) = 2100022272 / 4
LCM(45824,45828) = 525005568

Least Common Multiple (LCM) of 45824 and 45828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45824 and 45828. First we will calculate the prime factors of 45824 and 45828.

Prime Factorization of 45824

Prime Factorization of 45828

Now multiplying the highest exponent prime factors to calculate the LCM of 45824 and 45828.

LCM(45824,45828) = 2⁸ × 179¹ × 3² × 19¹ × 67¹
LCM(45824,45828) = 525005568