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What is the Least Common Multiple of 16736 and 16746?

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 16736 and 16746 is 140130528.

LCM(16736,16746) = 140130528

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Least Common Multiple of 16736 and 16746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16736 and 16746, than apply into the LCM equation.

GCF(16736,16746) = 2
LCM(16736,16746) = ( 16736 × 16746) / 2
LCM(16736,16746) = 280261056 / 2
LCM(16736,16746) = 140130528

Least Common Multiple (LCM) of 16736 and 16746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16736 and 16746. First we will calculate the prime factors of 16736 and 16746.

Prime Factorization of 16736

Prime factors of 16736 are 2, 523. Prime factorization of 16736 in exponential form is:

16736 = 25 × 5231

Prime Factorization of 16746

Prime factors of 16746 are 2, 3, 2791. Prime factorization of 16746 in exponential form is:

16746 = 21 × 31 × 27911

Now multiplying the highest exponent prime factors to calculate the LCM of 16736 and 16746.

LCM(16736,16746) = 25 × 5231 × 31 × 27911
LCM(16736,16746) = 140130528