What is the Least Common Multiple of 98352 and 98356?

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 98352 and 98356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98352 and 98356, than apply into the LCM equation.

GCF(98352,98356) = 4
LCM(98352,98356) = ( 98352 × 98356) / 4
LCM(98352,98356) = 9673509312 / 4
LCM(98352,98356) = 2418377328

Least Common Multiple (LCM) of 98352 and 98356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98352 and 98356. First we will calculate the prime factors of 98352 and 98356.

Prime Factorization of 98352

Prime Factorization of 98356

Now multiplying the highest exponent prime factors to calculate the LCM of 98352 and 98356.

LCM(98352,98356) = 2⁴ × 3² × 683¹ × 67¹ × 367¹
LCM(98352,98356) = 2418377328