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What is the Least Common Multiple of 18035 and 18045?

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 18035 and 18045 is 65088315.

LCM(18035,18045) = 65088315

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Least Common Multiple of 18035 and 18045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18035 and 18045, than apply into the LCM equation.

GCF(18035,18045) = 5
LCM(18035,18045) = ( 18035 × 18045) / 5
LCM(18035,18045) = 325441575 / 5
LCM(18035,18045) = 65088315

Least Common Multiple (LCM) of 18035 and 18045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18035 and 18045. First we will calculate the prime factors of 18035 and 18045.

Prime Factorization of 18035

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

18035 = 51 × 36071

Prime Factorization of 18045

Prime factors of 18045 are 3, 5, 401. Prime factorization of 18045 in exponential form is:

18045 = 32 × 51 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 18035 and 18045.

LCM(18035,18045) = 51 × 36071 × 32 × 4011
LCM(18035,18045) = 65088315