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What is the Least Common Multiple of 16739 and 16754?

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 16739 and 16754 is 280445206.

LCM(16739,16754) = 280445206

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Least Common Multiple of 16739 and 16754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16739 and 16754, than apply into the LCM equation.

GCF(16739,16754) = 1
LCM(16739,16754) = ( 16739 × 16754) / 1
LCM(16739,16754) = 280445206 / 1
LCM(16739,16754) = 280445206

Least Common Multiple (LCM) of 16739 and 16754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16739 and 16754. First we will calculate the prime factors of 16739 and 16754.

Prime Factorization of 16739

Prime factors of 16739 are 19, 881. Prime factorization of 16739 in exponential form is:

16739 = 191 × 8811

Prime Factorization of 16754

Prime factors of 16754 are 2, 8377. Prime factorization of 16754 in exponential form is:

16754 = 21 × 83771

Now multiplying the highest exponent prime factors to calculate the LCM of 16739 and 16754.

LCM(16739,16754) = 191 × 8811 × 21 × 83771
LCM(16739,16754) = 280445206