What is the Least Common Multiple of 9264 and 9278?

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 9264 and 9278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9264 and 9278, than apply into the LCM equation.

GCF(9264,9278) = 2
LCM(9264,9278) = ( 9264 × 9278) / 2
LCM(9264,9278) = 85951392 / 2
LCM(9264,9278) = 42975696

Least Common Multiple (LCM) of 9264 and 9278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9264 and 9278. First we will calculate the prime factors of 9264 and 9278.

Prime Factorization of 9264

Prime Factorization of 9278

Now multiplying the highest exponent prime factors to calculate the LCM of 9264 and 9278.

LCM(9264,9278) = 2⁴ × 3¹ × 193¹ × 4639¹
LCM(9264,9278) = 42975696