What is the Least Common Multiple of 9278 and 9288?

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 9278 and 9288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9278 and 9288, than apply into the LCM equation.

GCF(9278,9288) = 2
LCM(9278,9288) = ( 9278 × 9288) / 2
LCM(9278,9288) = 86174064 / 2
LCM(9278,9288) = 43087032

Least Common Multiple (LCM) of 9278 and 9288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9278 and 9288. First we will calculate the prime factors of 9278 and 9288.

Prime Factorization of 9278

Prime Factorization of 9288

Now multiplying the highest exponent prime factors to calculate the LCM of 9278 and 9288.

LCM(9278,9288) = 2³ × 4639¹ × 3³ × 43¹
LCM(9278,9288) = 43087032