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What is the Least Common Multiple of 16675 and 16684?

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 16684 is 278205700.

LCM(16675,16684) = 278205700

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Least Common Multiple of 16675 and 16684 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 16684, than apply into the LCM equation.

GCF(16675,16684) = 1
LCM(16675,16684) = ( 16675 × 16684) / 1
LCM(16675,16684) = 278205700 / 1
LCM(16675,16684) = 278205700

Least Common Multiple (LCM) of 16675 and 16684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16675 and 16684. First we will calculate the prime factors of 16675 and 16684.

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 16684

Prime factors of 16684 are 2, 43, 97. Prime factorization of 16684 in exponential form is:

16684 = 22 × 431 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 16675 and 16684.

LCM(16675,16684) = 52 × 231 × 291 × 22 × 431 × 971
LCM(16675,16684) = 278205700