What is the Least Common Multiple of 98314 and 98328?

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 98314 and 98328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98314 and 98328, than apply into the LCM equation.

GCF(98314,98328) = 2
LCM(98314,98328) = ( 98314 × 98328) / 2
LCM(98314,98328) = 9667018992 / 2
LCM(98314,98328) = 4833509496

Least Common Multiple (LCM) of 98314 and 98328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98314 and 98328. First we will calculate the prime factors of 98314 and 98328.

Prime Factorization of 98314

Prime Factorization of 98328

Now multiplying the highest exponent prime factors to calculate the LCM of 98314 and 98328.

LCM(98314,98328) = 2³ × 49157¹ × 3¹ × 17¹ × 241¹
LCM(98314,98328) = 4833509496