What is the Least Common Multiple of 98296 and 98314?

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 98296 and 98314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98296 and 98314, than apply into the LCM equation.

GCF(98296,98314) = 2
LCM(98296,98314) = ( 98296 × 98314) / 2
LCM(98296,98314) = 9663872944 / 2
LCM(98296,98314) = 4831936472

Least Common Multiple (LCM) of 98296 and 98314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98296 and 98314. First we will calculate the prime factors of 98296 and 98314.

Prime Factorization of 98296

Prime Factorization of 98314

Now multiplying the highest exponent prime factors to calculate the LCM of 98296 and 98314.

LCM(98296,98314) = 2³ × 11¹ × 1117¹ × 49157¹
LCM(98296,98314) = 4831936472