What is the Least Common Multiple of 60189 and 60198?

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 60189 and 60198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60189 and 60198, than apply into the LCM equation.

GCF(60189,60198) = 3
LCM(60189,60198) = ( 60189 × 60198) / 3
LCM(60189,60198) = 3623257422 / 3
LCM(60189,60198) = 1207752474

Least Common Multiple (LCM) of 60189 and 60198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60189 and 60198. First we will calculate the prime factors of 60189 and 60198.

Prime Factorization of 60189

Prime Factorization of 60198

Now multiplying the highest exponent prime factors to calculate the LCM of 60189 and 60198.

LCM(60189,60198) = 3¹ × 20063¹ × 2¹ × 79¹ × 127¹
LCM(60189,60198) = 1207752474