What is the Least Common Multiple of 98196 and 98205?

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 98196 and 98205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98196 and 98205, than apply into the LCM equation.

GCF(98196,98205) = 3
LCM(98196,98205) = ( 98196 × 98205) / 3
LCM(98196,98205) = 9643338180 / 3
LCM(98196,98205) = 3214446060

Least Common Multiple (LCM) of 98196 and 98205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98196 and 98205. First we will calculate the prime factors of 98196 and 98205.

Prime Factorization of 98196

Prime Factorization of 98205

Now multiplying the highest exponent prime factors to calculate the LCM of 98196 and 98205.

LCM(98196,98205) = 2² × 3¹ × 7² × 167¹ × 5¹ × 6547¹
LCM(98196,98205) = 3214446060