What is the Least Common Multiple of 24288 and 24306?

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 24288 and 24306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24288 and 24306, than apply into the LCM equation.

GCF(24288,24306) = 6
LCM(24288,24306) = ( 24288 × 24306) / 6
LCM(24288,24306) = 590344128 / 6
LCM(24288,24306) = 98390688

Least Common Multiple (LCM) of 24288 and 24306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24288 and 24306. First we will calculate the prime factors of 24288 and 24306.

Prime Factorization of 24288

Prime Factorization of 24306

Now multiplying the highest exponent prime factors to calculate the LCM of 24288 and 24306.

LCM(24288,24306) = 2⁵ × 3¹ × 11¹ × 23¹ × 4051¹
LCM(24288,24306) = 98390688