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What is the Least Common Multiple of 10339 and 10358?

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 10339 and 10358 is 107091362.

LCM(10339,10358) = 107091362

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Least Common Multiple of 10339 and 10358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10339 and 10358, than apply into the LCM equation.

GCF(10339,10358) = 1
LCM(10339,10358) = ( 10339 × 10358) / 1
LCM(10339,10358) = 107091362 / 1
LCM(10339,10358) = 107091362

Least Common Multiple (LCM) of 10339 and 10358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10339 and 10358. First we will calculate the prime factors of 10339 and 10358.

Prime Factorization of 10339

Prime factors of 10339 are 7, 211. Prime factorization of 10339 in exponential form is:

10339 = 72 × 2111

Prime Factorization of 10358

Prime factors of 10358 are 2, 5179. Prime factorization of 10358 in exponential form is:

10358 = 21 × 51791

Now multiplying the highest exponent prime factors to calculate the LCM of 10339 and 10358.

LCM(10339,10358) = 72 × 2111 × 21 × 51791
LCM(10339,10358) = 107091362