What is the Least Common Multiple of 45964 and 45975?

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 45964 and 45975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45964 and 45975, than apply into the LCM equation.

GCF(45964,45975) = 1
LCM(45964,45975) = ( 45964 × 45975) / 1
LCM(45964,45975) = 2113194900 / 1
LCM(45964,45975) = 2113194900

Least Common Multiple (LCM) of 45964 and 45975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45964 and 45975. First we will calculate the prime factors of 45964 and 45975.

Prime Factorization of 45964

Prime Factorization of 45975

Now multiplying the highest exponent prime factors to calculate the LCM of 45964 and 45975.

LCM(45964,45975) = 2² × 11491¹ × 3¹ × 5² × 613¹
LCM(45964,45975) = 2113194900