What is the Least Common Multiple of 98356 and 98372?

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 98356 and 98372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98356 and 98372, than apply into the LCM equation.

GCF(98356,98372) = 4
LCM(98356,98372) = ( 98356 × 98372) / 4
LCM(98356,98372) = 9675476432 / 4
LCM(98356,98372) = 2418869108

Least Common Multiple (LCM) of 98356 and 98372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98356 and 98372. First we will calculate the prime factors of 98356 and 98372.

Prime Factorization of 98356

Prime Factorization of 98372

Now multiplying the highest exponent prime factors to calculate the LCM of 98356 and 98372.

LCM(98356,98372) = 2² × 67¹ × 367¹ × 24593¹
LCM(98356,98372) = 2418869108