What is the Least Common Multiple of 9376 and 9382?

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 9382 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 9382, than apply into the LCM equation.

GCF(9376,9382) = 2
LCM(9376,9382) = ( 9376 × 9382) / 2
LCM(9376,9382) = 87965632 / 2
LCM(9376,9382) = 43982816

Least Common Multiple (LCM) of 9376 and 9382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9376 and 9382. First we will calculate the prime factors of 9376 and 9382.

Prime Factorization of 9376

Prime Factorization of 9382

Now multiplying the highest exponent prime factors to calculate the LCM of 9376 and 9382.

LCM(9376,9382) = 2⁵ × 293¹ × 4691¹
LCM(9376,9382) = 43982816