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What is the Least Common Multiple of 18291 and 18311?

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 18291 and 18311 is 334926501.

LCM(18291,18311) = 334926501

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Least Common Multiple of 18291 and 18311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18291 and 18311, than apply into the LCM equation.

GCF(18291,18311) = 1
LCM(18291,18311) = ( 18291 × 18311) / 1
LCM(18291,18311) = 334926501 / 1
LCM(18291,18311) = 334926501

Least Common Multiple (LCM) of 18291 and 18311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18291 and 18311. First we will calculate the prime factors of 18291 and 18311.

Prime Factorization of 18291

Prime factors of 18291 are 3, 7, 13, 67. Prime factorization of 18291 in exponential form is:

18291 = 31 × 71 × 131 × 671

Prime Factorization of 18311

Prime factors of 18311 are 18311. Prime factorization of 18311 in exponential form is:

18311 = 183111

Now multiplying the highest exponent prime factors to calculate the LCM of 18291 and 18311.

LCM(18291,18311) = 31 × 71 × 131 × 671 × 183111
LCM(18291,18311) = 334926501