What is the Least Common Multiple of 44964 and 44975?

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 44964 and 44975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44964 and 44975, than apply into the LCM equation.

GCF(44964,44975) = 1
LCM(44964,44975) = ( 44964 × 44975) / 1
LCM(44964,44975) = 2022255900 / 1
LCM(44964,44975) = 2022255900

Least Common Multiple (LCM) of 44964 and 44975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44964 and 44975. First we will calculate the prime factors of 44964 and 44975.

Prime Factorization of 44964

Prime Factorization of 44975

Now multiplying the highest exponent prime factors to calculate the LCM of 44964 and 44975.

LCM(44964,44975) = 2² × 3² × 1249¹ × 5² × 7¹ × 257¹
LCM(44964,44975) = 2022255900