What is the Least Common Multiple of 61310 and 61329?

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 61310 and 61329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61310 and 61329, than apply into the LCM equation.

GCF(61310,61329) = 1
LCM(61310,61329) = ( 61310 × 61329) / 1
LCM(61310,61329) = 3760080990 / 1
LCM(61310,61329) = 3760080990

Least Common Multiple (LCM) of 61310 and 61329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61310 and 61329. First we will calculate the prime factors of 61310 and 61329.

Prime Factorization of 61310

Prime Factorization of 61329

Now multiplying the highest exponent prime factors to calculate the LCM of 61310 and 61329.

LCM(61310,61329) = 2¹ × 5¹ × 6131¹ × 3¹ × 20443¹
LCM(61310,61329) = 3760080990