What is the Least Common Multiple of 61016 and 61036?

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 61016 and 61036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61016 and 61036, than apply into the LCM equation.

GCF(61016,61036) = 4
LCM(61016,61036) = ( 61016 × 61036) / 4
LCM(61016,61036) = 3724172576 / 4
LCM(61016,61036) = 931043144

Least Common Multiple (LCM) of 61016 and 61036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61016 and 61036. First we will calculate the prime factors of 61016 and 61036.

Prime Factorization of 61016

Prime Factorization of 61036

Now multiplying the highest exponent prime factors to calculate the LCM of 61016 and 61036.

LCM(61016,61036) = 2³ × 29¹ × 263¹ × 15259¹
LCM(61016,61036) = 931043144