What is the Least Common Multiple of 9256 and 9274?

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 9256 and 9274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9256 and 9274, than apply into the LCM equation.

GCF(9256,9274) = 2
LCM(9256,9274) = ( 9256 × 9274) / 2
LCM(9256,9274) = 85840144 / 2
LCM(9256,9274) = 42920072

Least Common Multiple (LCM) of 9256 and 9274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9256 and 9274. First we will calculate the prime factors of 9256 and 9274.

Prime Factorization of 9256

Prime Factorization of 9274

Now multiplying the highest exponent prime factors to calculate the LCM of 9256 and 9274.

LCM(9256,9274) = 2³ × 13¹ × 89¹ × 4637¹
LCM(9256,9274) = 42920072