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What is the Least Common Multiple of 16609 and 16613?

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 16609 and 16613 is 275925317.

LCM(16609,16613) = 275925317

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Least Common Multiple of 16609 and 16613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16609 and 16613, than apply into the LCM equation.

GCF(16609,16613) = 1
LCM(16609,16613) = ( 16609 × 16613) / 1
LCM(16609,16613) = 275925317 / 1
LCM(16609,16613) = 275925317

Least Common Multiple (LCM) of 16609 and 16613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16609 and 16613. First we will calculate the prime factors of 16609 and 16613.

Prime Factorization of 16609

Prime factors of 16609 are 17, 977. Prime factorization of 16609 in exponential form is:

16609 = 171 × 9771

Prime Factorization of 16613

Prime factors of 16613 are 37, 449. Prime factorization of 16613 in exponential form is:

16613 = 371 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 16609 and 16613.

LCM(16609,16613) = 171 × 9771 × 371 × 4491
LCM(16609,16613) = 275925317