What is the Least Common Multiple of 24278 and 24288?

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 24278 and 24288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24278 and 24288, than apply into the LCM equation.

GCF(24278,24288) = 2
LCM(24278,24288) = ( 24278 × 24288) / 2
LCM(24278,24288) = 589664064 / 2
LCM(24278,24288) = 294832032

Least Common Multiple (LCM) of 24278 and 24288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24278 and 24288. First we will calculate the prime factors of 24278 and 24288.

Prime Factorization of 24278

Prime Factorization of 24288

Now multiplying the highest exponent prime factors to calculate the LCM of 24278 and 24288.

LCM(24278,24288) = 2⁵ × 61¹ × 199¹ × 3¹ × 11¹ × 23¹
LCM(24278,24288) = 294832032