What is the Least Common Multiple of 44960 and 44972?

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 44960 and 44972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44960 and 44972, than apply into the LCM equation.

GCF(44960,44972) = 4
LCM(44960,44972) = ( 44960 × 44972) / 4
LCM(44960,44972) = 2021941120 / 4
LCM(44960,44972) = 505485280

Least Common Multiple (LCM) of 44960 and 44972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44960 and 44972. First we will calculate the prime factors of 44960 and 44972.

Prime Factorization of 44960

Prime Factorization of 44972

Now multiplying the highest exponent prime factors to calculate the LCM of 44960 and 44972.

LCM(44960,44972) = 2⁵ × 5¹ × 281¹ × 11243¹
LCM(44960,44972) = 505485280