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What is the Least Common Multiple of 18716 and 18727?

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 18716 and 18727 is 350494532.

LCM(18716,18727) = 350494532

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Least Common Multiple of 18716 and 18727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18716 and 18727, than apply into the LCM equation.

GCF(18716,18727) = 1
LCM(18716,18727) = ( 18716 × 18727) / 1
LCM(18716,18727) = 350494532 / 1
LCM(18716,18727) = 350494532

Least Common Multiple (LCM) of 18716 and 18727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18716 and 18727. First we will calculate the prime factors of 18716 and 18727.

Prime Factorization of 18716

Prime factors of 18716 are 2, 4679. Prime factorization of 18716 in exponential form is:

18716 = 22 × 46791

Prime Factorization of 18727

Prime factors of 18727 are 61, 307. Prime factorization of 18727 in exponential form is:

18727 = 611 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 18716 and 18727.

LCM(18716,18727) = 22 × 46791 × 611 × 3071
LCM(18716,18727) = 350494532