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What is the Least Common Multiple of 16702 and 16712?

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 16712 is 139561912.

LCM(16702,16712) = 139561912

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Least Common Multiple of 16702 and 16712 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 16712, than apply into the LCM equation.

GCF(16702,16712) = 2
LCM(16702,16712) = ( 16702 × 16712) / 2
LCM(16702,16712) = 279123824 / 2
LCM(16702,16712) = 139561912

Least Common Multiple (LCM) of 16702 and 16712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16702 and 16712. First we will calculate the prime factors of 16702 and 16712.

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 16712

Prime factors of 16712 are 2, 2089. Prime factorization of 16712 in exponential form is:

16712 = 23 × 20891

Now multiplying the highest exponent prime factors to calculate the LCM of 16702 and 16712.

LCM(16702,16712) = 23 × 71 × 11931 × 20891
LCM(16702,16712) = 139561912