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What is the Least Common Multiple of 28690 and 28706?

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 28690 and 28706 is 411787570.

LCM(28690,28706) = 411787570

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Least Common Multiple of 28690 and 28706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28690 and 28706, than apply into the LCM equation.

GCF(28690,28706) = 2
LCM(28690,28706) = ( 28690 × 28706) / 2
LCM(28690,28706) = 823575140 / 2
LCM(28690,28706) = 411787570

Least Common Multiple (LCM) of 28690 and 28706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28690 and 28706. First we will calculate the prime factors of 28690 and 28706.

Prime Factorization of 28690

Prime factors of 28690 are 2, 5, 19, 151. Prime factorization of 28690 in exponential form is:

28690 = 21 × 51 × 191 × 1511

Prime Factorization of 28706

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

28706 = 21 × 311 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 28690 and 28706.

LCM(28690,28706) = 21 × 51 × 191 × 1511 × 311 × 4631
LCM(28690,28706) = 411787570