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What is the Least Common Multiple of 18070 and 18086?

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 18070 and 18086 is 163407010.

LCM(18070,18086) = 163407010

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Least Common Multiple of 18070 and 18086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18070 and 18086, than apply into the LCM equation.

GCF(18070,18086) = 2
LCM(18070,18086) = ( 18070 × 18086) / 2
LCM(18070,18086) = 326814020 / 2
LCM(18070,18086) = 163407010

Least Common Multiple (LCM) of 18070 and 18086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18070 and 18086. First we will calculate the prime factors of 18070 and 18086.

Prime Factorization of 18070

Prime factors of 18070 are 2, 5, 13, 139. Prime factorization of 18070 in exponential form is:

18070 = 21 × 51 × 131 × 1391

Prime Factorization of 18086

Prime factors of 18086 are 2, 9043. Prime factorization of 18086 in exponential form is:

18086 = 21 × 90431

Now multiplying the highest exponent prime factors to calculate the LCM of 18070 and 18086.

LCM(18070,18086) = 21 × 51 × 131 × 1391 × 90431
LCM(18070,18086) = 163407010