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What is the Least Common Multiple of 45285 and 45291?

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 45285 and 45291 is 683667645.

LCM(45285,45291) = 683667645

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Least Common Multiple of 45285 and 45291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45285 and 45291, than apply into the LCM equation.

GCF(45285,45291) = 3
LCM(45285,45291) = ( 45285 × 45291) / 3
LCM(45285,45291) = 2051002935 / 3
LCM(45285,45291) = 683667645

Least Common Multiple (LCM) of 45285 and 45291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45285 and 45291. First we will calculate the prime factors of 45285 and 45291.

Prime Factorization of 45285

Prime factors of 45285 are 3, 5, 3019. Prime factorization of 45285 in exponential form is:

45285 = 31 × 51 × 30191

Prime Factorization of 45291

Prime factors of 45291 are 3, 31, 487. Prime factorization of 45291 in exponential form is:

45291 = 31 × 311 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 45285 and 45291.

LCM(45285,45291) = 31 × 51 × 30191 × 311 × 4871
LCM(45285,45291) = 683667645