What is the Least Common Multiple of 61646 and 61664?

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 61646 and 61664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61646 and 61664, than apply into the LCM equation.

GCF(61646,61664) = 2
LCM(61646,61664) = ( 61646 × 61664) / 2
LCM(61646,61664) = 3801338944 / 2
LCM(61646,61664) = 1900669472

Least Common Multiple (LCM) of 61646 and 61664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61646 and 61664. First we will calculate the prime factors of 61646 and 61664.

Prime Factorization of 61646

Prime Factorization of 61664

Now multiplying the highest exponent prime factors to calculate the LCM of 61646 and 61664.

LCM(61646,61664) = 2⁵ × 13¹ × 2371¹ × 41¹ × 47¹
LCM(61646,61664) = 1900669472