What is the Least Common Multiple of 24302 and 24310?

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 24302 and 24310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24302 and 24310, than apply into the LCM equation.

GCF(24302,24310) = 2
LCM(24302,24310) = ( 24302 × 24310) / 2
LCM(24302,24310) = 590781620 / 2
LCM(24302,24310) = 295390810

Least Common Multiple (LCM) of 24302 and 24310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24302 and 24310. First we will calculate the prime factors of 24302 and 24310.

Prime Factorization of 24302

Prime Factorization of 24310

Now multiplying the highest exponent prime factors to calculate the LCM of 24302 and 24310.

LCM(24302,24310) = 2¹ × 29¹ × 419¹ × 5¹ × 11¹ × 13¹ × 17¹
LCM(24302,24310) = 295390810