What is the Least Common Multiple of 9374 and 9384?

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 9374 and 9384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9374 and 9384, than apply into the LCM equation.

GCF(9374,9384) = 2
LCM(9374,9384) = ( 9374 × 9384) / 2
LCM(9374,9384) = 87965616 / 2
LCM(9374,9384) = 43982808

Least Common Multiple (LCM) of 9374 and 9384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9374 and 9384. First we will calculate the prime factors of 9374 and 9384.

Prime Factorization of 9374

Prime Factorization of 9384

Now multiplying the highest exponent prime factors to calculate the LCM of 9374 and 9384.

LCM(9374,9384) = 2³ × 43¹ × 109¹ × 3¹ × 17¹ × 23¹
LCM(9374,9384) = 43982808