What is the Least Common Multiple of 9376 and 9396?

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 9376 and 9396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9376 and 9396, than apply into the LCM equation.

GCF(9376,9396) = 4
LCM(9376,9396) = ( 9376 × 9396) / 4
LCM(9376,9396) = 88096896 / 4
LCM(9376,9396) = 22024224

Least Common Multiple (LCM) of 9376 and 9396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9376 and 9396. First we will calculate the prime factors of 9376 and 9396.

Prime Factorization of 9376

Prime Factorization of 9396

Now multiplying the highest exponent prime factors to calculate the LCM of 9376 and 9396.

LCM(9376,9396) = 2⁵ × 293¹ × 3⁴ × 29¹
LCM(9376,9396) = 22024224