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What is the Least Common Multiple of 16743 and 16763?

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 16743 and 16763 is 280662909.

LCM(16743,16763) = 280662909

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Least Common Multiple of 16743 and 16763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16743 and 16763, than apply into the LCM equation.

GCF(16743,16763) = 1
LCM(16743,16763) = ( 16743 × 16763) / 1
LCM(16743,16763) = 280662909 / 1
LCM(16743,16763) = 280662909

Least Common Multiple (LCM) of 16743 and 16763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16743 and 16763. First we will calculate the prime factors of 16743 and 16763.

Prime Factorization of 16743

Prime factors of 16743 are 3, 5581. Prime factorization of 16743 in exponential form is:

16743 = 31 × 55811

Prime Factorization of 16763

Prime factors of 16763 are 16763. Prime factorization of 16763 in exponential form is:

16763 = 167631

Now multiplying the highest exponent prime factors to calculate the LCM of 16743 and 16763.

LCM(16743,16763) = 31 × 55811 × 167631
LCM(16743,16763) = 280662909