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What is the Least Common Multiple of 10338 and 10350?

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 (LCM) of 10338 and 10350 is 17833050.

LCM(10338,10350) = 17833050

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Least Common Multiple of 10338 and 10350 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 10350, than apply into the LCM equation.

GCF(10338,10350) = 6
LCM(10338,10350) = ( 10338 × 10350) / 6
LCM(10338,10350) = 106998300 / 6
LCM(10338,10350) = 17833050

Least Common Multiple (LCM) of 10338 and 10350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10338 and 10350. First we will calculate the prime factors of 10338 and 10350.

Prime Factorization of 10338

Prime factors of 10338 are 2, 3, 1723. Prime factorization of 10338 in exponential form is:

10338 = 21 × 31 × 17231

Prime Factorization of 10350

Prime factors of 10350 are 2, 3, 5, 23. Prime factorization of 10350 in exponential form is:

10350 = 21 × 32 × 52 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 10338 and 10350.

LCM(10338,10350) = 21 × 32 × 17231 × 52 × 231
LCM(10338,10350) = 17833050