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What is the Least Common Multiple of 18282 and 18291?

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 18282 and 18291 is 111465354.

LCM(18282,18291) = 111465354

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Least Common Multiple of 18282 and 18291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18282 and 18291, than apply into the LCM equation.

GCF(18282,18291) = 3
LCM(18282,18291) = ( 18282 × 18291) / 3
LCM(18282,18291) = 334396062 / 3
LCM(18282,18291) = 111465354

Least Common Multiple (LCM) of 18282 and 18291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18282 and 18291. First we will calculate the prime factors of 18282 and 18291.

Prime Factorization of 18282

Prime factors of 18282 are 2, 3, 11, 277. Prime factorization of 18282 in exponential form is:

18282 = 21 × 31 × 111 × 2771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 18282 and 18291.

LCM(18282,18291) = 21 × 31 × 111 × 2771 × 71 × 131 × 671
LCM(18282,18291) = 111465354