What is the Least Common Multiple of 98320 and 98340?

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 98320 and 98340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98320 and 98340, than apply into the LCM equation.

GCF(98320,98340) = 20
LCM(98320,98340) = ( 98320 × 98340) / 20
LCM(98320,98340) = 9668788800 / 20
LCM(98320,98340) = 483439440

Least Common Multiple (LCM) of 98320 and 98340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98320 and 98340. First we will calculate the prime factors of 98320 and 98340.

Prime Factorization of 98320

Prime Factorization of 98340

Now multiplying the highest exponent prime factors to calculate the LCM of 98320 and 98340.

LCM(98320,98340) = 2⁴ × 5¹ × 1229¹ × 3¹ × 11¹ × 149¹
LCM(98320,98340) = 483439440