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What is the Least Common Multiple of 18165 and 18170?

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 18165 and 18170 is 66011610.

LCM(18165,18170) = 66011610

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Least Common Multiple of 18165 and 18170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18165 and 18170, than apply into the LCM equation.

GCF(18165,18170) = 5
LCM(18165,18170) = ( 18165 × 18170) / 5
LCM(18165,18170) = 330058050 / 5
LCM(18165,18170) = 66011610

Least Common Multiple (LCM) of 18165 and 18170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18165 and 18170. First we will calculate the prime factors of 18165 and 18170.

Prime Factorization of 18165

Prime factors of 18165 are 3, 5, 7, 173. Prime factorization of 18165 in exponential form is:

18165 = 31 × 51 × 71 × 1731

Prime Factorization of 18170

Prime factors of 18170 are 2, 5, 23, 79. Prime factorization of 18170 in exponential form is:

18170 = 21 × 51 × 231 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 18165 and 18170.

LCM(18165,18170) = 31 × 51 × 71 × 1731 × 21 × 231 × 791
LCM(18165,18170) = 66011610