What is the Least Common Multiple of 61200 and 61217?

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 61200 and 61217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61200 and 61217, than apply into the LCM equation.

GCF(61200,61217) = 17
LCM(61200,61217) = ( 61200 × 61217) / 17
LCM(61200,61217) = 3746480400 / 17
LCM(61200,61217) = 220381200

Least Common Multiple (LCM) of 61200 and 61217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61200 and 61217. First we will calculate the prime factors of 61200 and 61217.

Prime Factorization of 61200

Prime Factorization of 61217

Now multiplying the highest exponent prime factors to calculate the LCM of 61200 and 61217.

LCM(61200,61217) = 2⁴ × 3² × 5² × 17¹ × 13¹ × 277¹
LCM(61200,61217) = 220381200