What is the Least Common Multiple of 89198 and 89204?

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 89198 and 89204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89198 and 89204, than apply into the LCM equation.

GCF(89198,89204) = 2
LCM(89198,89204) = ( 89198 × 89204) / 2
LCM(89198,89204) = 7956818392 / 2
LCM(89198,89204) = 3978409196

Least Common Multiple (LCM) of 89198 and 89204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89198 and 89204. First we will calculate the prime factors of 89198 and 89204.

Prime Factorization of 89198

Prime Factorization of 89204

Now multiplying the highest exponent prime factors to calculate the LCM of 89198 and 89204.

LCM(89198,89204) = 2² × 103¹ × 433¹ × 29¹ × 769¹
LCM(89198,89204) = 3978409196