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What is the Least Common Multiple of 16736 and 16744?

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 16744 is 35028448.

LCM(16736,16744) = 35028448

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Least Common Multiple of 16736 and 16744 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 16744, than apply into the LCM equation.

GCF(16736,16744) = 8
LCM(16736,16744) = ( 16736 × 16744) / 8
LCM(16736,16744) = 280227584 / 8
LCM(16736,16744) = 35028448

Least Common Multiple (LCM) of 16736 and 16744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16736 and 16744. First we will calculate the prime factors of 16736 and 16744.

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 16744

Prime factors of 16744 are 2, 7, 13, 23. Prime factorization of 16744 in exponential form is:

16744 = 23 × 71 × 131 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 16736 and 16744.

LCM(16736,16744) = 25 × 5231 × 71 × 131 × 231
LCM(16736,16744) = 35028448