What is the Least Common Multiple of 93198 and 93216?

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 93198 and 93216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93198 and 93216, than apply into the LCM equation.

GCF(93198,93216) = 6
LCM(93198,93216) = ( 93198 × 93216) / 6
LCM(93198,93216) = 8687544768 / 6
LCM(93198,93216) = 1447924128

Least Common Multiple (LCM) of 93198 and 93216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93198 and 93216. First we will calculate the prime factors of 93198 and 93216.

Prime Factorization of 93198

Prime Factorization of 93216

Now multiplying the highest exponent prime factors to calculate the LCM of 93198 and 93216.

LCM(93198,93216) = 2⁵ × 3¹ × 7² × 317¹ × 971¹
LCM(93198,93216) = 1447924128