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What is the Least Common Multiple of 18051 and 18063?

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 18051 and 18063 is 108685071.

LCM(18051,18063) = 108685071

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Least Common Multiple of 18051 and 18063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18051 and 18063, than apply into the LCM equation.

GCF(18051,18063) = 3
LCM(18051,18063) = ( 18051 × 18063) / 3
LCM(18051,18063) = 326055213 / 3
LCM(18051,18063) = 108685071

Least Common Multiple (LCM) of 18051 and 18063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18051 and 18063. First we will calculate the prime factors of 18051 and 18063.

Prime Factorization of 18051

Prime factors of 18051 are 3, 11, 547. Prime factorization of 18051 in exponential form is:

18051 = 31 × 111 × 5471

Prime Factorization of 18063

Prime factors of 18063 are 3, 223. Prime factorization of 18063 in exponential form is:

18063 = 34 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 18051 and 18063.

LCM(18051,18063) = 34 × 111 × 5471 × 2231
LCM(18051,18063) = 108685071