What is the Least Common Multiple of 61149 and 61164?

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 61149 and 61164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61149 and 61164, than apply into the LCM equation.

GCF(61149,61164) = 3
LCM(61149,61164) = ( 61149 × 61164) / 3
LCM(61149,61164) = 3740117436 / 3
LCM(61149,61164) = 1246705812

Least Common Multiple (LCM) of 61149 and 61164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61149 and 61164. First we will calculate the prime factors of 61149 and 61164.

Prime Factorization of 61149

Prime Factorization of 61164

Now multiplying the highest exponent prime factors to calculate the LCM of 61149 and 61164.

LCM(61149,61164) = 3² × 11¹ × 17¹ × 109¹ × 2² × 1699¹
LCM(61149,61164) = 1246705812