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What is the Least Common Multiple of 17690 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 17690 and 17699 is 313095310.

LCM(17690,17699) = 313095310

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Least Common Multiple of 17690 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 17690 and 17699, than apply into the LCM equation.

GCF(17690,17699) = 1
LCM(17690,17699) = ( 17690 × 17699) / 1
LCM(17690,17699) = 313095310 / 1
LCM(17690,17699) = 313095310

Least Common Multiple (LCM) of 17690 and 17699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17690 and 17699. First we will calculate the prime factors of 17690 and 17699.

Prime Factorization of 17690

Prime factors of 17690 are 2, 5, 29, 61. Prime factorization of 17690 in exponential form is:

17690 = 21 × 51 × 291 × 611

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 17690 and 17699.

LCM(17690,17699) = 21 × 51 × 291 × 611 × 111 × 16091
LCM(17690,17699) = 313095310