What is the Least Common Multiple of 79184 and 79198?

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 79184 and 79198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79184 and 79198, than apply into the LCM equation.

GCF(79184,79198) = 14
LCM(79184,79198) = ( 79184 × 79198) / 14
LCM(79184,79198) = 6271214432 / 14
LCM(79184,79198) = 447943888

Least Common Multiple (LCM) of 79184 and 79198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79184 and 79198. First we will calculate the prime factors of 79184 and 79198.

Prime Factorization of 79184

Prime Factorization of 79198

Now multiplying the highest exponent prime factors to calculate the LCM of 79184 and 79198.

LCM(79184,79198) = 2⁴ × 7² × 101¹ × 5657¹
LCM(79184,79198) = 447943888