What is the Least Common Multiple of 60198 and 60216?

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 60198 and 60216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60198 and 60216, than apply into the LCM equation.

GCF(60198,60216) = 6
LCM(60198,60216) = ( 60198 × 60216) / 6
LCM(60198,60216) = 3624882768 / 6
LCM(60198,60216) = 604147128

Least Common Multiple (LCM) of 60198 and 60216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60198 and 60216. First we will calculate the prime factors of 60198 and 60216.

Prime Factorization of 60198

Prime Factorization of 60216

Now multiplying the highest exponent prime factors to calculate the LCM of 60198 and 60216.

LCM(60198,60216) = 2³ × 3¹ × 79¹ × 127¹ × 13¹ × 193¹
LCM(60198,60216) = 604147128