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What is the Least Common Multiple of 18018 and 18035?

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 18018 and 18035 is 324954630.

LCM(18018,18035) = 324954630

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Least Common Multiple of 18018 and 18035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18018 and 18035, than apply into the LCM equation.

GCF(18018,18035) = 1
LCM(18018,18035) = ( 18018 × 18035) / 1
LCM(18018,18035) = 324954630 / 1
LCM(18018,18035) = 324954630

Least Common Multiple (LCM) of 18018 and 18035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18018 and 18035. First we will calculate the prime factors of 18018 and 18035.

Prime Factorization of 18018

Prime factors of 18018 are 2, 3, 7, 11, 13. Prime factorization of 18018 in exponential form is:

18018 = 21 × 32 × 71 × 111 × 131

Prime Factorization of 18035

Prime factors of 18035 are 5, 3607. Prime factorization of 18035 in exponential form is:

18035 = 51 × 36071

Now multiplying the highest exponent prime factors to calculate the LCM of 18018 and 18035.

LCM(18018,18035) = 21 × 32 × 71 × 111 × 131 × 51 × 36071
LCM(18018,18035) = 324954630