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What is the Least Common Multiple of 84047 and 84065?

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 84047 and 84065 is 7065411055.

LCM(84047,84065) = 7065411055

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Least Common Multiple of 84047 and 84065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84047 and 84065, than apply into the LCM equation.

GCF(84047,84065) = 1
LCM(84047,84065) = ( 84047 × 84065) / 1
LCM(84047,84065) = 7065411055 / 1
LCM(84047,84065) = 7065411055

Least Common Multiple (LCM) of 84047 and 84065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84047 and 84065. First we will calculate the prime factors of 84047 and 84065.

Prime Factorization of 84047

Prime factors of 84047 are 84047. Prime factorization of 84047 in exponential form is:

84047 = 840471

Prime Factorization of 84065

Prime factors of 84065 are 5, 17, 23, 43. Prime factorization of 84065 in exponential form is:

84065 = 51 × 171 × 231 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 84047 and 84065.

LCM(84047,84065) = 840471 × 51 × 171 × 231 × 431
LCM(84047,84065) = 7065411055