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What is the Least Common Multiple of 18136 and 18146?

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 18136 and 18146 is 164547928.

LCM(18136,18146) = 164547928

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Least Common Multiple of 18136 and 18146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18136 and 18146, than apply into the LCM equation.

GCF(18136,18146) = 2
LCM(18136,18146) = ( 18136 × 18146) / 2
LCM(18136,18146) = 329095856 / 2
LCM(18136,18146) = 164547928

Least Common Multiple (LCM) of 18136 and 18146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18136 and 18146. First we will calculate the prime factors of 18136 and 18146.

Prime Factorization of 18136

Prime factors of 18136 are 2, 2267. Prime factorization of 18136 in exponential form is:

18136 = 23 × 22671

Prime Factorization of 18146

Prime factors of 18146 are 2, 43, 211. Prime factorization of 18146 in exponential form is:

18146 = 21 × 431 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 18136 and 18146.

LCM(18136,18146) = 23 × 22671 × 431 × 2111
LCM(18136,18146) = 164547928