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What is the Least Common Multiple of 18023 and 18030?

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 18023 and 18030 is 324954690.

LCM(18023,18030) = 324954690

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Least Common Multiple of 18023 and 18030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18023 and 18030, than apply into the LCM equation.

GCF(18023,18030) = 1
LCM(18023,18030) = ( 18023 × 18030) / 1
LCM(18023,18030) = 324954690 / 1
LCM(18023,18030) = 324954690

Least Common Multiple (LCM) of 18023 and 18030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18023 and 18030. First we will calculate the prime factors of 18023 and 18030.

Prime Factorization of 18023

Prime factors of 18023 are 67, 269. Prime factorization of 18023 in exponential form is:

18023 = 671 × 2691

Prime Factorization of 18030

Prime factors of 18030 are 2, 3, 5, 601. Prime factorization of 18030 in exponential form is:

18030 = 21 × 31 × 51 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 18023 and 18030.

LCM(18023,18030) = 671 × 2691 × 21 × 31 × 51 × 6011
LCM(18023,18030) = 324954690