What is the Least Common Multiple of 61538 and 61556?

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 61538 and 61556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61538 and 61556, than apply into the LCM equation.

GCF(61538,61556) = 2
LCM(61538,61556) = ( 61538 × 61556) / 2
LCM(61538,61556) = 3788033128 / 2
LCM(61538,61556) = 1894016564

Least Common Multiple (LCM) of 61538 and 61556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61538 and 61556. First we will calculate the prime factors of 61538 and 61556.

Prime Factorization of 61538

Prime Factorization of 61556

Now multiplying the highest exponent prime factors to calculate the LCM of 61538 and 61556.

LCM(61538,61556) = 2² × 29¹ × 1061¹ × 11¹ × 1399¹
LCM(61538,61556) = 1894016564