What is the Least Common Multiple of 61200 and 61216?

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 61216 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 61216, than apply into the LCM equation.

GCF(61200,61216) = 16
LCM(61200,61216) = ( 61200 × 61216) / 16
LCM(61200,61216) = 3746419200 / 16
LCM(61200,61216) = 234151200

Least Common Multiple (LCM) of 61200 and 61216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61200 and 61216. First we will calculate the prime factors of 61200 and 61216.

Prime Factorization of 61200

Prime Factorization of 61216

Now multiplying the highest exponent prime factors to calculate the LCM of 61200 and 61216.

LCM(61200,61216) = 2⁵ × 3² × 5² × 17¹ × 1913¹
LCM(61200,61216) = 234151200