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What is the Least Common Multiple of 9019 and 9036?

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 9019 and 9036 is 81495684.

LCM(9019,9036) = 81495684

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Least Common Multiple of 9019 and 9036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9019 and 9036, than apply into the LCM equation.

GCF(9019,9036) = 1
LCM(9019,9036) = ( 9019 × 9036) / 1
LCM(9019,9036) = 81495684 / 1
LCM(9019,9036) = 81495684

Least Common Multiple (LCM) of 9019 and 9036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9019 and 9036. First we will calculate the prime factors of 9019 and 9036.

Prime Factorization of 9019

Prime factors of 9019 are 29, 311. Prime factorization of 9019 in exponential form is:

9019 = 291 × 3111

Prime Factorization of 9036

Prime factors of 9036 are 2, 3, 251. Prime factorization of 9036 in exponential form is:

9036 = 22 × 32 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 9019 and 9036.

LCM(9019,9036) = 291 × 3111 × 22 × 32 × 2511
LCM(9019,9036) = 81495684