What is the Least Common Multiple of 61110 and 61130?

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 61110 and 61130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61110 and 61130, than apply into the LCM equation.

GCF(61110,61130) = 10
LCM(61110,61130) = ( 61110 × 61130) / 10
LCM(61110,61130) = 3735654300 / 10
LCM(61110,61130) = 373565430

Least Common Multiple (LCM) of 61110 and 61130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61110 and 61130. First we will calculate the prime factors of 61110 and 61130.

Prime Factorization of 61110

Prime Factorization of 61130

Now multiplying the highest exponent prime factors to calculate the LCM of 61110 and 61130.

LCM(61110,61130) = 2¹ × 3² × 5¹ × 7¹ × 97¹ × 6113¹
LCM(61110,61130) = 373565430