What is the Least Common Multiple of 38376 and 38384?

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 38376 and 38384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38376 and 38384, than apply into the LCM equation.

GCF(38376,38384) = 8
LCM(38376,38384) = ( 38376 × 38384) / 8
LCM(38376,38384) = 1473024384 / 8
LCM(38376,38384) = 184128048

Least Common Multiple (LCM) of 38376 and 38384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38376 and 38384. First we will calculate the prime factors of 38376 and 38384.

Prime Factorization of 38376

Prime Factorization of 38384

Now multiplying the highest exponent prime factors to calculate the LCM of 38376 and 38384.

LCM(38376,38384) = 2⁴ × 3² × 13¹ × 41¹ × 2399¹
LCM(38376,38384) = 184128048