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What is the Least Common Multiple of 28706 and 28724?

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 28706 and 28724 is 412275572.

LCM(28706,28724) = 412275572

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Least Common Multiple of 28706 and 28724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28706 and 28724, than apply into the LCM equation.

GCF(28706,28724) = 2
LCM(28706,28724) = ( 28706 × 28724) / 2
LCM(28706,28724) = 824551144 / 2
LCM(28706,28724) = 412275572

Least Common Multiple (LCM) of 28706 and 28724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28706 and 28724. First we will calculate the prime factors of 28706 and 28724.

Prime Factorization of 28706

Prime factors of 28706 are 2, 31, 463. Prime factorization of 28706 in exponential form is:

28706 = 21 × 311 × 4631

Prime Factorization of 28724

Prime factors of 28724 are 2, 43, 167. Prime factorization of 28724 in exponential form is:

28724 = 22 × 431 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 28706 and 28724.

LCM(28706,28724) = 22 × 311 × 4631 × 431 × 1671
LCM(28706,28724) = 412275572