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What is the Least Common Multiple of 16702 and 16711?

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 16711 is 279107122.

LCM(16702,16711) = 279107122

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Least Common Multiple of 16702 and 16711 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 16711, than apply into the LCM equation.

GCF(16702,16711) = 1
LCM(16702,16711) = ( 16702 × 16711) / 1
LCM(16702,16711) = 279107122 / 1
LCM(16702,16711) = 279107122

Least Common Multiple (LCM) of 16702 and 16711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16702 and 16711. First we will calculate the prime factors of 16702 and 16711.

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 16711

Prime factors of 16711 are 17, 983. Prime factorization of 16711 in exponential form is:

16711 = 171 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 16702 and 16711.

LCM(16702,16711) = 21 × 71 × 11931 × 171 × 9831
LCM(16702,16711) = 279107122