What is the Least Common Multiple of 61491 and 61511?

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 61491 and 61511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61491 and 61511, than apply into the LCM equation.

GCF(61491,61511) = 1
LCM(61491,61511) = ( 61491 × 61511) / 1
LCM(61491,61511) = 3782372901 / 1
LCM(61491,61511) = 3782372901

Least Common Multiple (LCM) of 61491 and 61511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61491 and 61511. First we will calculate the prime factors of 61491 and 61511.

Prime Factorization of 61491

Prime Factorization of 61511

Now multiplying the highest exponent prime factors to calculate the LCM of 61491 and 61511.

LCM(61491,61511) = 3¹ × 103¹ × 199¹ × 61511¹
LCM(61491,61511) = 3782372901