What is the Least Common Multiple of 61080 and 61098?

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 61080 and 61098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61080 and 61098, than apply into the LCM equation.

GCF(61080,61098) = 6
LCM(61080,61098) = ( 61080 × 61098) / 6
LCM(61080,61098) = 3731865840 / 6
LCM(61080,61098) = 621977640

Least Common Multiple (LCM) of 61080 and 61098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61080 and 61098. First we will calculate the prime factors of 61080 and 61098.

Prime Factorization of 61080

Prime Factorization of 61098

Now multiplying the highest exponent prime factors to calculate the LCM of 61080 and 61098.

LCM(61080,61098) = 2³ × 3¹ × 5¹ × 509¹ × 17¹ × 599¹
LCM(61080,61098) = 621977640