What is the Least Common Multiple of 3375 and 3384?

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 3375 and 3384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3375 and 3384, than apply into the LCM equation.

GCF(3375,3384) = 9
LCM(3375,3384) = ( 3375 × 3384) / 9
LCM(3375,3384) = 11421000 / 9
LCM(3375,3384) = 1269000

Least Common Multiple (LCM) of 3375 and 3384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3375 and 3384. First we will calculate the prime factors of 3375 and 3384.

Prime Factorization of 3375

Prime Factorization of 3384

Now multiplying the highest exponent prime factors to calculate the LCM of 3375 and 3384.

LCM(3375,3384) = 3³ × 5³ × 2³ × 47¹
LCM(3375,3384) = 1269000