What is the Least Common Multiple of 61284 and 61290?

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 61284 and 61290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61284 and 61290, than apply into the LCM equation.

GCF(61284,61290) = 6
LCM(61284,61290) = ( 61284 × 61290) / 6
LCM(61284,61290) = 3756096360 / 6
LCM(61284,61290) = 626016060

Least Common Multiple (LCM) of 61284 and 61290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61284 and 61290. First we will calculate the prime factors of 61284 and 61290.

Prime Factorization of 61284

Prime Factorization of 61290

Now multiplying the highest exponent prime factors to calculate the LCM of 61284 and 61290.

LCM(61284,61290) = 2² × 3³ × 5107¹ × 5¹ × 227¹
LCM(61284,61290) = 626016060