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What is the Least Common Multiple of 28674 and 28685?

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 28674 and 28685 is 822513690.

LCM(28674,28685) = 822513690

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Least Common Multiple of 28674 and 28685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28674 and 28685, than apply into the LCM equation.

GCF(28674,28685) = 1
LCM(28674,28685) = ( 28674 × 28685) / 1
LCM(28674,28685) = 822513690 / 1
LCM(28674,28685) = 822513690

Least Common Multiple (LCM) of 28674 and 28685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28674 and 28685. First we will calculate the prime factors of 28674 and 28685.

Prime Factorization of 28674

Prime factors of 28674 are 2, 3, 59. Prime factorization of 28674 in exponential form is:

28674 = 21 × 35 × 591

Prime Factorization of 28685

Prime factors of 28685 are 5, 5737. Prime factorization of 28685 in exponential form is:

28685 = 51 × 57371

Now multiplying the highest exponent prime factors to calculate the LCM of 28674 and 28685.

LCM(28674,28685) = 21 × 35 × 591 × 51 × 57371
LCM(28674,28685) = 822513690