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What is the Least Common Multiple of 16077 and 16086?

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 16077 and 16086 is 86204874.

LCM(16077,16086) = 86204874

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Least Common Multiple of 16077 and 16086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16077 and 16086, than apply into the LCM equation.

GCF(16077,16086) = 3
LCM(16077,16086) = ( 16077 × 16086) / 3
LCM(16077,16086) = 258614622 / 3
LCM(16077,16086) = 86204874

Least Common Multiple (LCM) of 16077 and 16086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16077 and 16086. First we will calculate the prime factors of 16077 and 16086.

Prime Factorization of 16077

Prime factors of 16077 are 3, 23, 233. Prime factorization of 16077 in exponential form is:

16077 = 31 × 231 × 2331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 16077 and 16086.

LCM(16077,16086) = 31 × 231 × 2331 × 21 × 71 × 3831
LCM(16077,16086) = 86204874