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What is the Least Common Multiple of 84447 and 84467?

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 84447 and 84467 is 7132984749.

LCM(84447,84467) = 7132984749

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Least Common Multiple of 84447 and 84467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84447 and 84467, than apply into the LCM equation.

GCF(84447,84467) = 1
LCM(84447,84467) = ( 84447 × 84467) / 1
LCM(84447,84467) = 7132984749 / 1
LCM(84447,84467) = 7132984749

Least Common Multiple (LCM) of 84447 and 84467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84447 and 84467. First we will calculate the prime factors of 84447 and 84467.

Prime Factorization of 84447

Prime factors of 84447 are 3, 11, 853. Prime factorization of 84447 in exponential form is:

84447 = 32 × 111 × 8531

Prime Factorization of 84467

Prime factors of 84467 are 84467. Prime factorization of 84467 in exponential form is:

84467 = 844671

Now multiplying the highest exponent prime factors to calculate the LCM of 84447 and 84467.

LCM(84447,84467) = 32 × 111 × 8531 × 844671
LCM(84447,84467) = 7132984749