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What is the Least Common Multiple of 16702 and 16713?

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 16702 and 16713 is 279140526.

LCM(16702,16713) = 279140526

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Least Common Multiple of 16702 and 16713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16702 and 16713, than apply into the LCM equation.

GCF(16702,16713) = 1
LCM(16702,16713) = ( 16702 × 16713) / 1
LCM(16702,16713) = 279140526 / 1
LCM(16702,16713) = 279140526

Least Common Multiple (LCM) of 16702 and 16713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16702 and 16713. First we will calculate the prime factors of 16702 and 16713.

Prime Factorization of 16702

Prime factors of 16702 are 2, 7, 1193. Prime factorization of 16702 in exponential form is:

16702 = 21 × 71 × 11931

Prime Factorization of 16713

Prime factors of 16713 are 3, 619. Prime factorization of 16713 in exponential form is:

16713 = 33 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 16702 and 16713.

LCM(16702,16713) = 21 × 71 × 11931 × 33 × 6191
LCM(16702,16713) = 279140526