What is the Least Common Multiple of 10338 and 10353?

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 10353 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 10353, than apply into the LCM equation.

GCF(10338,10353) = 3
LCM(10338,10353) = ( 10338 × 10353) / 3
LCM(10338,10353) = 107029314 / 3
LCM(10338,10353) = 35676438

Least Common Multiple (LCM) of 10338 and 10353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10338 and 10353. First we will calculate the prime factors of 10338 and 10353.

Prime Factorization of 10338

Prime Factorization of 10353

Now multiplying the highest exponent prime factors to calculate the LCM of 10338 and 10353.

LCM(10338,10353) = 2¹ × 3¹ × 1723¹ × 7¹ × 17¹ × 29¹
LCM(10338,10353) = 35676438