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What is the Least Common Multiple of 10708 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 10708 and 10724 is 28708148.

LCM(10708,10724) = 28708148

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Least Common Multiple of 10708 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 10708 and 10724, than apply into the LCM equation.

GCF(10708,10724) = 4
LCM(10708,10724) = ( 10708 × 10724) / 4
LCM(10708,10724) = 114832592 / 4
LCM(10708,10724) = 28708148

Least Common Multiple (LCM) of 10708 and 10724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10708 and 10724. First we will calculate the prime factors of 10708 and 10724.

Prime Factorization of 10708

Prime factors of 10708 are 2, 2677. Prime factorization of 10708 in exponential form is:

10708 = 22 × 26771

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 10708 and 10724.

LCM(10708,10724) = 22 × 26771 × 71 × 3831
LCM(10708,10724) = 28708148