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What is the Least Common Multiple of 10709 and 10724?

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 10709 and 10724 is 114843316.

LCM(10709,10724) = 114843316

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Least Common Multiple of 10709 and 10724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10709 and 10724, than apply into the LCM equation.

GCF(10709,10724) = 1
LCM(10709,10724) = ( 10709 × 10724) / 1
LCM(10709,10724) = 114843316 / 1
LCM(10709,10724) = 114843316

Least Common Multiple (LCM) of 10709 and 10724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10709 and 10724. First we will calculate the prime factors of 10709 and 10724.

Prime Factorization of 10709

Prime factors of 10709 are 10709. Prime factorization of 10709 in exponential form is:

10709 = 107091

Prime Factorization of 10724

Prime factors of 10724 are 2, 7, 383. Prime factorization of 10724 in exponential form is:

10724 = 22 × 71 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 10709 and 10724.

LCM(10709,10724) = 107091 × 22 × 71 × 3831
LCM(10709,10724) = 114843316