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What is the Least Common Multiple of 90047 and 90065?

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 90047 and 90065 is 8110083055.

LCM(90047,90065) = 8110083055

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Least Common Multiple of 90047 and 90065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90047 and 90065, than apply into the LCM equation.

GCF(90047,90065) = 1
LCM(90047,90065) = ( 90047 × 90065) / 1
LCM(90047,90065) = 8110083055 / 1
LCM(90047,90065) = 8110083055

Least Common Multiple (LCM) of 90047 and 90065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90047 and 90065. First we will calculate the prime factors of 90047 and 90065.

Prime Factorization of 90047

Prime factors of 90047 are 53, 1699. Prime factorization of 90047 in exponential form is:

90047 = 531 × 16991

Prime Factorization of 90065

Prime factors of 90065 are 5, 18013. Prime factorization of 90065 in exponential form is:

90065 = 51 × 180131

Now multiplying the highest exponent prime factors to calculate the LCM of 90047 and 90065.

LCM(90047,90065) = 531 × 16991 × 51 × 180131
LCM(90047,90065) = 8110083055