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What is the Least Common Multiple of 18031 and 18042?

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 18031 and 18042 is 325315302.

LCM(18031,18042) = 325315302

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Least Common Multiple of 18031 and 18042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18031 and 18042, than apply into the LCM equation.

GCF(18031,18042) = 1
LCM(18031,18042) = ( 18031 × 18042) / 1
LCM(18031,18042) = 325315302 / 1
LCM(18031,18042) = 325315302

Least Common Multiple (LCM) of 18031 and 18042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18031 and 18042. First we will calculate the prime factors of 18031 and 18042.

Prime Factorization of 18031

Prime factors of 18031 are 13, 19, 73. Prime factorization of 18031 in exponential form is:

18031 = 131 × 191 × 731

Prime Factorization of 18042

Prime factors of 18042 are 2, 3, 31, 97. Prime factorization of 18042 in exponential form is:

18042 = 21 × 31 × 311 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 18031 and 18042.

LCM(18031,18042) = 131 × 191 × 731 × 21 × 31 × 311 × 971
LCM(18031,18042) = 325315302