What is the Least Common Multiple of 2338 and 2350?

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 2338 and 2350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2338 and 2350, than apply into the LCM equation.

GCF(2338,2350) = 2
LCM(2338,2350) = ( 2338 × 2350) / 2
LCM(2338,2350) = 5494300 / 2
LCM(2338,2350) = 2747150

Least Common Multiple (LCM) of 2338 and 2350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2338 and 2350. First we will calculate the prime factors of 2338 and 2350.

Prime Factorization of 2338

Prime Factorization of 2350

Now multiplying the highest exponent prime factors to calculate the LCM of 2338 and 2350.

LCM(2338,2350) = 2¹ × 7¹ × 167¹ × 5² × 47¹
LCM(2338,2350) = 2747150