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What is the Least Common Multiple of 16733 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 16733 and 16746 is 280210818.

LCM(16733,16746) = 280210818

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Least Common Multiple of 16733 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 16733 and 16746, than apply into the LCM equation.

GCF(16733,16746) = 1
LCM(16733,16746) = ( 16733 × 16746) / 1
LCM(16733,16746) = 280210818 / 1
LCM(16733,16746) = 280210818

Least Common Multiple (LCM) of 16733 and 16746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16733 and 16746. First we will calculate the prime factors of 16733 and 16746.

Prime Factorization of 16733

Prime factors of 16733 are 29, 577. Prime factorization of 16733 in exponential form is:

16733 = 291 × 5771

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 16733 and 16746.

LCM(16733,16746) = 291 × 5771 × 21 × 31 × 27911
LCM(16733,16746) = 280210818