What is the Least Common Multiple of 98196 and 98212?

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 98212 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 98212, than apply into the LCM equation.

GCF(98196,98212) = 4
LCM(98196,98212) = ( 98196 × 98212) / 4
LCM(98196,98212) = 9644025552 / 4
LCM(98196,98212) = 2411006388

Least Common Multiple (LCM) of 98196 and 98212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98196 and 98212. First we will calculate the prime factors of 98196 and 98212.

Prime Factorization of 98196

Prime Factorization of 98212

Now multiplying the highest exponent prime factors to calculate the LCM of 98196 and 98212.

LCM(98196,98212) = 2² × 3¹ × 7² × 167¹ × 43¹ × 571¹
LCM(98196,98212) = 2411006388