What is the Least Common Multiple of 81198 and 81216?

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 81198 and 81216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81198 and 81216, than apply into the LCM equation.

GCF(81198,81216) = 18
LCM(81198,81216) = ( 81198 × 81216) / 18
LCM(81198,81216) = 6594576768 / 18
LCM(81198,81216) = 366365376

Least Common Multiple (LCM) of 81198 and 81216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81198 and 81216. First we will calculate the prime factors of 81198 and 81216.

Prime Factorization of 81198

Prime Factorization of 81216

Now multiplying the highest exponent prime factors to calculate the LCM of 81198 and 81216.

LCM(81198,81216) = 2⁶ × 3³ × 13¹ × 347¹ × 47¹
LCM(81198,81216) = 366365376