What is the Least Common Multiple of 9296 and 9314?

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 9296 and 9314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9296 and 9314, than apply into the LCM equation.

GCF(9296,9314) = 2
LCM(9296,9314) = ( 9296 × 9314) / 2
LCM(9296,9314) = 86582944 / 2
LCM(9296,9314) = 43291472

Least Common Multiple (LCM) of 9296 and 9314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9296 and 9314. First we will calculate the prime factors of 9296 and 9314.

Prime Factorization of 9296

Prime Factorization of 9314

Now multiplying the highest exponent prime factors to calculate the LCM of 9296 and 9314.

LCM(9296,9314) = 2⁴ × 7¹ × 83¹ × 4657¹
LCM(9296,9314) = 43291472