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What is the Least Common Multiple of 17684 and 17699?

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 17684 and 17699 is 312989116.

LCM(17684,17699) = 312989116

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Least Common Multiple of 17684 and 17699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17684 and 17699, than apply into the LCM equation.

GCF(17684,17699) = 1
LCM(17684,17699) = ( 17684 × 17699) / 1
LCM(17684,17699) = 312989116 / 1
LCM(17684,17699) = 312989116

Least Common Multiple (LCM) of 17684 and 17699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17684 and 17699. First we will calculate the prime factors of 17684 and 17699.

Prime Factorization of 17684

Prime factors of 17684 are 2, 4421. Prime factorization of 17684 in exponential form is:

17684 = 22 × 44211

Prime Factorization of 17699

Prime factors of 17699 are 11, 1609. Prime factorization of 17699 in exponential form is:

17699 = 111 × 16091

Now multiplying the highest exponent prime factors to calculate the LCM of 17684 and 17699.

LCM(17684,17699) = 22 × 44211 × 111 × 16091
LCM(17684,17699) = 312989116