What is the Least Common Multiple of 3375 and 3383?

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 3383 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 3383, than apply into the LCM equation.

GCF(3375,3383) = 1
LCM(3375,3383) = ( 3375 × 3383) / 1
LCM(3375,3383) = 11417625 / 1
LCM(3375,3383) = 11417625

Least Common Multiple (LCM) of 3375 and 3383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3375 and 3383. First we will calculate the prime factors of 3375 and 3383.

Prime Factorization of 3375

Prime Factorization of 3383

Now multiplying the highest exponent prime factors to calculate the LCM of 3375 and 3383.

LCM(3375,3383) = 3³ × 5³ × 17¹ × 199¹
LCM(3375,3383) = 11417625