What is the Least Common Multiple of 98300 and 98304?

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 98300 and 98304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98300 and 98304, than apply into the LCM equation.

GCF(98300,98304) = 4
LCM(98300,98304) = ( 98300 × 98304) / 4
LCM(98300,98304) = 9663283200 / 4
LCM(98300,98304) = 2415820800

Least Common Multiple (LCM) of 98300 and 98304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98300 and 98304. First we will calculate the prime factors of 98300 and 98304.

Prime Factorization of 98300

Prime Factorization of 98304

Now multiplying the highest exponent prime factors to calculate the LCM of 98300 and 98304.

LCM(98300,98304) = 2¹⁵ × 5² × 983¹ × 3¹
LCM(98300,98304) = 2415820800