What is the Least Common Multiple of 61008 and 61024?

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 61008 and 61024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61008 and 61024, than apply into the LCM equation.

GCF(61008,61024) = 16
LCM(61008,61024) = ( 61008 × 61024) / 16
LCM(61008,61024) = 3722952192 / 16
LCM(61008,61024) = 232684512

Least Common Multiple (LCM) of 61008 and 61024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61008 and 61024. First we will calculate the prime factors of 61008 and 61024.

Prime Factorization of 61008

Prime Factorization of 61024

Now multiplying the highest exponent prime factors to calculate the LCM of 61008 and 61024.

LCM(61008,61024) = 2⁵ × 3¹ × 31¹ × 41¹ × 1907¹
LCM(61008,61024) = 232684512