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What is the Least Common Multiple of 84377 and 84387?

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 84387 is 7120321899.

LCM(84377,84387) = 7120321899

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Least Common Multiple of 84377 and 84387 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 84387, than apply into the LCM equation.

GCF(84377,84387) = 1
LCM(84377,84387) = ( 84377 × 84387) / 1
LCM(84377,84387) = 7120321899 / 1
LCM(84377,84387) = 7120321899

Least Common Multiple (LCM) of 84377 and 84387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84377 and 84387. First we will calculate the prime factors of 84377 and 84387.

Prime Factorization of 84377

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

84377 = 843771

Prime Factorization of 84387

Prime factors of 84387 are 3, 23, 1223. Prime factorization of 84387 in exponential form is:

84387 = 31 × 231 × 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 84377 and 84387.

LCM(84377,84387) = 843771 × 31 × 231 × 12231
LCM(84377,84387) = 7120321899