What is the Least Common Multiple of 61944 and 61952?

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 61944 and 61952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61944 and 61952, than apply into the LCM equation.

GCF(61944,61952) = 8
LCM(61944,61952) = ( 61944 × 61952) / 8
LCM(61944,61952) = 3837554688 / 8
LCM(61944,61952) = 479694336

Least Common Multiple (LCM) of 61944 and 61952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61944 and 61952. First we will calculate the prime factors of 61944 and 61952.

Prime Factorization of 61944

Prime Factorization of 61952

Now multiplying the highest exponent prime factors to calculate the LCM of 61944 and 61952.

LCM(61944,61952) = 2⁹ × 3¹ × 29¹ × 89¹ × 11²
LCM(61944,61952) = 479694336