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What is the Least Common Multiple of 18054 and 18073?

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 18054 and 18073 is 326289942.

LCM(18054,18073) = 326289942

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Least Common Multiple of 18054 and 18073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18054 and 18073, than apply into the LCM equation.

GCF(18054,18073) = 1
LCM(18054,18073) = ( 18054 × 18073) / 1
LCM(18054,18073) = 326289942 / 1
LCM(18054,18073) = 326289942

Least Common Multiple (LCM) of 18054 and 18073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18054 and 18073. First we will calculate the prime factors of 18054 and 18073.

Prime Factorization of 18054

Prime factors of 18054 are 2, 3, 17, 59. Prime factorization of 18054 in exponential form is:

18054 = 21 × 32 × 171 × 591

Prime Factorization of 18073

Prime factors of 18073 are 11, 31, 53. Prime factorization of 18073 in exponential form is:

18073 = 111 × 311 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 18054 and 18073.

LCM(18054,18073) = 21 × 32 × 171 × 591 × 111 × 311 × 531
LCM(18054,18073) = 326289942