What is the Least Common Multiple of 1338 and 1350?

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 1338 and 1350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1338 and 1350, than apply into the LCM equation.

GCF(1338,1350) = 6
LCM(1338,1350) = ( 1338 × 1350) / 6
LCM(1338,1350) = 1806300 / 6
LCM(1338,1350) = 301050

Least Common Multiple (LCM) of 1338 and 1350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1338 and 1350. First we will calculate the prime factors of 1338 and 1350.

Prime Factorization of 1338

Prime Factorization of 1350

Now multiplying the highest exponent prime factors to calculate the LCM of 1338 and 1350.

LCM(1338,1350) = 2¹ × 3³ × 223¹ × 5²
LCM(1338,1350) = 301050