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What is the Least Common Multiple of 18157 and 18176?

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 18157 and 18176 is 330021632.

LCM(18157,18176) = 330021632

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Least Common Multiple of 18157 and 18176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18157 and 18176, than apply into the LCM equation.

GCF(18157,18176) = 1
LCM(18157,18176) = ( 18157 × 18176) / 1
LCM(18157,18176) = 330021632 / 1
LCM(18157,18176) = 330021632

Least Common Multiple (LCM) of 18157 and 18176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18157 and 18176. First we will calculate the prime factors of 18157 and 18176.

Prime Factorization of 18157

Prime factors of 18157 are 67, 271. Prime factorization of 18157 in exponential form is:

18157 = 671 × 2711

Prime Factorization of 18176

Prime factors of 18176 are 2, 71. Prime factorization of 18176 in exponential form is:

18176 = 28 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 18157 and 18176.

LCM(18157,18176) = 671 × 2711 × 28 × 711
LCM(18157,18176) = 330021632