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What is the Least Common Multiple of 84371 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 84371 and 84387 is 7119815577.

LCM(84371,84387) = 7119815577

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Least Common Multiple of 84371 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 84371 and 84387, than apply into the LCM equation.

GCF(84371,84387) = 1
LCM(84371,84387) = ( 84371 × 84387) / 1
LCM(84371,84387) = 7119815577 / 1
LCM(84371,84387) = 7119815577

Least Common Multiple (LCM) of 84371 and 84387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84371 and 84387. First we will calculate the prime factors of 84371 and 84387.

Prime Factorization of 84371

Prime factors of 84371 are 7, 17, 709. Prime factorization of 84371 in exponential form is:

84371 = 71 × 171 × 7091

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 84371 and 84387.

LCM(84371,84387) = 71 × 171 × 7091 × 31 × 231 × 12231
LCM(84371,84387) = 7119815577