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What is the Least Common Multiple of 84377 and 84385?

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 84377 and 84385 is 7120153145.

LCM(84377,84385) = 7120153145

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Least Common Multiple of 84377 and 84385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84377 and 84385, than apply into the LCM equation.

GCF(84377,84385) = 1
LCM(84377,84385) = ( 84377 × 84385) / 1
LCM(84377,84385) = 7120153145 / 1
LCM(84377,84385) = 7120153145

Least Common Multiple (LCM) of 84377 and 84385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84377 and 84385. First we will calculate the prime factors of 84377 and 84385.

Prime Factorization of 84377

Prime factors of 84377 are 84377. Prime factorization of 84377 in exponential form is:

84377 = 843771

Prime Factorization of 84385

Prime factors of 84385 are 5, 7, 2411. Prime factorization of 84385 in exponential form is:

84385 = 51 × 71 × 24111

Now multiplying the highest exponent prime factors to calculate the LCM of 84377 and 84385.

LCM(84377,84385) = 843771 × 51 × 71 × 24111
LCM(84377,84385) = 7120153145