What is the Least Common Multiple of 79198 and 79216?

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 79198 and 79216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79198 and 79216, than apply into the LCM equation.

GCF(79198,79216) = 2
LCM(79198,79216) = ( 79198 × 79216) / 2
LCM(79198,79216) = 6273748768 / 2
LCM(79198,79216) = 3136874384

Least Common Multiple (LCM) of 79198 and 79216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79198 and 79216. First we will calculate the prime factors of 79198 and 79216.

Prime Factorization of 79198

Prime Factorization of 79216

Now multiplying the highest exponent prime factors to calculate the LCM of 79198 and 79216.

LCM(79198,79216) = 2⁴ × 7¹ × 5657¹ × 4951¹
LCM(79198,79216) = 3136874384