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What is the Least Common Multiple of 16702 and 16709?

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 16709 is 39867674.

LCM(16702,16709) = 39867674

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Least Common Multiple of 16702 and 16709 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 16709, than apply into the LCM equation.

GCF(16702,16709) = 7
LCM(16702,16709) = ( 16702 × 16709) / 7
LCM(16702,16709) = 279073718 / 7
LCM(16702,16709) = 39867674

Least Common Multiple (LCM) of 16702 and 16709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16702 and 16709. First we will calculate the prime factors of 16702 and 16709.

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 16709

Prime factors of 16709 are 7, 11, 31. Prime factorization of 16709 in exponential form is:

16709 = 72 × 111 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 16702 and 16709.

LCM(16702,16709) = 21 × 72 × 11931 × 111 × 311
LCM(16702,16709) = 39867674