What is the Least Common Multiple of 51149 and 51161?

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 51149 and 51161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51149 and 51161, than apply into the LCM equation.

GCF(51149,51161) = 1
LCM(51149,51161) = ( 51149 × 51161) / 1
LCM(51149,51161) = 2616833989 / 1
LCM(51149,51161) = 2616833989

Least Common Multiple (LCM) of 51149 and 51161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51149 and 51161. First we will calculate the prime factors of 51149 and 51161.

Prime Factorization of 51149

Prime Factorization of 51161

Now multiplying the highest exponent prime factors to calculate the LCM of 51149 and 51161.

LCM(51149,51161) = 7¹ × 7307¹ × 11¹ × 4651¹
LCM(51149,51161) = 2616833989