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What is the Least Common Multiple of 16086 and 16093?

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 16086 and 16093 is 36981714.

LCM(16086,16093) = 36981714

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Least Common Multiple of 16086 and 16093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16086 and 16093, than apply into the LCM equation.

GCF(16086,16093) = 7
LCM(16086,16093) = ( 16086 × 16093) / 7
LCM(16086,16093) = 258871998 / 7
LCM(16086,16093) = 36981714

Least Common Multiple (LCM) of 16086 and 16093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16086 and 16093. First we will calculate the prime factors of 16086 and 16093.

Prime Factorization of 16086

Prime factors of 16086 are 2, 3, 7, 383. Prime factorization of 16086 in exponential form is:

16086 = 21 × 31 × 71 × 3831

Prime Factorization of 16093

Prime factors of 16093 are 7, 11, 19. Prime factorization of 16093 in exponential form is:

16093 = 71 × 112 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 16086 and 16093.

LCM(16086,16093) = 21 × 31 × 71 × 3831 × 112 × 191
LCM(16086,16093) = 36981714