What is the Least Common Multiple of 98244 and 98253?

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 98244 and 98253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98244 and 98253, than apply into the LCM equation.

GCF(98244,98253) = 9
LCM(98244,98253) = ( 98244 × 98253) / 9
LCM(98244,98253) = 9652767732 / 9
LCM(98244,98253) = 1072529748

Least Common Multiple (LCM) of 98244 and 98253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98244 and 98253. First we will calculate the prime factors of 98244 and 98253.

Prime Factorization of 98244

Prime Factorization of 98253

Now multiplying the highest exponent prime factors to calculate the LCM of 98244 and 98253.

LCM(98244,98253) = 2² × 3⁴ × 2729¹ × 1213¹
LCM(98244,98253) = 1072529748