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What is the Least Common Multiple of 16695 and 16700?

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 16695 and 16700 is 55761300.

LCM(16695,16700) = 55761300

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Least Common Multiple of 16695 and 16700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16695 and 16700, than apply into the LCM equation.

GCF(16695,16700) = 5
LCM(16695,16700) = ( 16695 × 16700) / 5
LCM(16695,16700) = 278806500 / 5
LCM(16695,16700) = 55761300

Least Common Multiple (LCM) of 16695 and 16700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16695 and 16700. First we will calculate the prime factors of 16695 and 16700.

Prime Factorization of 16695

Prime factors of 16695 are 3, 5, 7, 53. Prime factorization of 16695 in exponential form is:

16695 = 32 × 51 × 71 × 531

Prime Factorization of 16700

Prime factors of 16700 are 2, 5, 167. Prime factorization of 16700 in exponential form is:

16700 = 22 × 52 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 16695 and 16700.

LCM(16695,16700) = 32 × 52 × 71 × 531 × 22 × 1671
LCM(16695,16700) = 55761300