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What is the Least Common Multiple of 18030 and 18046?

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 18030 and 18046 is 162684690.

LCM(18030,18046) = 162684690

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Least Common Multiple of 18030 and 18046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18030 and 18046, than apply into the LCM equation.

GCF(18030,18046) = 2
LCM(18030,18046) = ( 18030 × 18046) / 2
LCM(18030,18046) = 325369380 / 2
LCM(18030,18046) = 162684690

Least Common Multiple (LCM) of 18030 and 18046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18030 and 18046. First we will calculate the prime factors of 18030 and 18046.

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

Prime Factorization of 18046

Prime factors of 18046 are 2, 7, 1289. Prime factorization of 18046 in exponential form is:

18046 = 21 × 71 × 12891

Now multiplying the highest exponent prime factors to calculate the LCM of 18030 and 18046.

LCM(18030,18046) = 21 × 31 × 51 × 6011 × 71 × 12891
LCM(18030,18046) = 162684690