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What is the Least Common Multiple of 10715 and 10734?

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 10715 and 10734 is 115014810.

LCM(10715,10734) = 115014810

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Least Common Multiple of 10715 and 10734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10715 and 10734, than apply into the LCM equation.

GCF(10715,10734) = 1
LCM(10715,10734) = ( 10715 × 10734) / 1
LCM(10715,10734) = 115014810 / 1
LCM(10715,10734) = 115014810

Least Common Multiple (LCM) of 10715 and 10734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10715 and 10734. First we will calculate the prime factors of 10715 and 10734.

Prime Factorization of 10715

Prime factors of 10715 are 5, 2143. Prime factorization of 10715 in exponential form is:

10715 = 51 × 21431

Prime Factorization of 10734

Prime factors of 10734 are 2, 3, 1789. Prime factorization of 10734 in exponential form is:

10734 = 21 × 31 × 17891

Now multiplying the highest exponent prime factors to calculate the LCM of 10715 and 10734.

LCM(10715,10734) = 51 × 21431 × 21 × 31 × 17891
LCM(10715,10734) = 115014810