What is the Least Common Multiple of 98304 and 98310?

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 98304 and 98310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98304 and 98310, than apply into the LCM equation.

GCF(98304,98310) = 6
LCM(98304,98310) = ( 98304 × 98310) / 6
LCM(98304,98310) = 9664266240 / 6
LCM(98304,98310) = 1610711040

Least Common Multiple (LCM) of 98304 and 98310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98304 and 98310. First we will calculate the prime factors of 98304 and 98310.

Prime Factorization of 98304

Prime Factorization of 98310

Now multiplying the highest exponent prime factors to calculate the LCM of 98304 and 98310.

LCM(98304,98310) = 2¹⁵ × 3¹ × 5¹ × 29¹ × 113¹
LCM(98304,98310) = 1610711040