What is the Least Common Multiple of 61156 and 61166?

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 61156 and 61166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61156 and 61166, than apply into the LCM equation.

GCF(61156,61166) = 2
LCM(61156,61166) = ( 61156 × 61166) / 2
LCM(61156,61166) = 3740667896 / 2
LCM(61156,61166) = 1870333948

Least Common Multiple (LCM) of 61156 and 61166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61156 and 61166. First we will calculate the prime factors of 61156 and 61166.

Prime Factorization of 61156

Prime Factorization of 61166

Now multiplying the highest exponent prime factors to calculate the LCM of 61156 and 61166.

LCM(61156,61166) = 2² × 15289¹ × 7¹ × 17¹ × 257¹
LCM(61156,61166) = 1870333948