What is the Least Common Multiple of 80198 and 80216?

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 80198 and 80216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80198 and 80216, than apply into the LCM equation.

GCF(80198,80216) = 2
LCM(80198,80216) = ( 80198 × 80216) / 2
LCM(80198,80216) = 6433162768 / 2
LCM(80198,80216) = 3216581384

Least Common Multiple (LCM) of 80198 and 80216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80198 and 80216. First we will calculate the prime factors of 80198 and 80216.

Prime Factorization of 80198

Prime Factorization of 80216

Now multiplying the highest exponent prime factors to calculate the LCM of 80198 and 80216.

LCM(80198,80216) = 2³ × 40099¹ × 37¹ × 271¹
LCM(80198,80216) = 3216581384