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What is the Least Common Multiple of 16675 and 16691?

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 16675 and 16691 is 278322425.

LCM(16675,16691) = 278322425

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Least Common Multiple of 16675 and 16691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16675 and 16691, than apply into the LCM equation.

GCF(16675,16691) = 1
LCM(16675,16691) = ( 16675 × 16691) / 1
LCM(16675,16691) = 278322425 / 1
LCM(16675,16691) = 278322425

Least Common Multiple (LCM) of 16675 and 16691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16675 and 16691. First we will calculate the prime factors of 16675 and 16691.

Prime Factorization of 16675

Prime factors of 16675 are 5, 23, 29. Prime factorization of 16675 in exponential form is:

16675 = 52 × 231 × 291

Prime Factorization of 16691

Prime factors of 16691 are 16691. Prime factorization of 16691 in exponential form is:

16691 = 166911

Now multiplying the highest exponent prime factors to calculate the LCM of 16675 and 16691.

LCM(16675,16691) = 52 × 231 × 291 × 166911
LCM(16675,16691) = 278322425