What is the Least Common Multiple of 10338 and 10348?

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 10338 and 10348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10338 and 10348, than apply into the LCM equation.

GCF(10338,10348) = 2
LCM(10338,10348) = ( 10338 × 10348) / 2
LCM(10338,10348) = 106977624 / 2
LCM(10338,10348) = 53488812

Least Common Multiple (LCM) of 10338 and 10348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10338 and 10348. First we will calculate the prime factors of 10338 and 10348.

Prime Factorization of 10338

Prime Factorization of 10348

Now multiplying the highest exponent prime factors to calculate the LCM of 10338 and 10348.

LCM(10338,10348) = 2² × 3¹ × 1723¹ × 13¹ × 199¹
LCM(10338,10348) = 53488812