What is the Least Common Multiple of 98196 and 98210?

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 98210 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 98210, than apply into the LCM equation.

GCF(98196,98210) = 14
LCM(98196,98210) = ( 98196 × 98210) / 14
LCM(98196,98210) = 9643829160 / 14
LCM(98196,98210) = 688844940

Least Common Multiple (LCM) of 98196 and 98210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98196 and 98210. First we will calculate the prime factors of 98196 and 98210.

Prime Factorization of 98196

Prime Factorization of 98210

Now multiplying the highest exponent prime factors to calculate the LCM of 98196 and 98210.

LCM(98196,98210) = 2² × 3¹ × 7² × 167¹ × 5¹ × 23¹ × 61¹
LCM(98196,98210) = 688844940