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What is the Least Common Multiple of 84352 and 84371?

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 84352 and 84371 is 7116862592.

LCM(84352,84371) = 7116862592

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Least Common Multiple of 84352 and 84371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84352 and 84371, than apply into the LCM equation.

GCF(84352,84371) = 1
LCM(84352,84371) = ( 84352 × 84371) / 1
LCM(84352,84371) = 7116862592 / 1
LCM(84352,84371) = 7116862592

Least Common Multiple (LCM) of 84352 and 84371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84352 and 84371. First we will calculate the prime factors of 84352 and 84371.

Prime Factorization of 84352

Prime factors of 84352 are 2, 659. Prime factorization of 84352 in exponential form is:

84352 = 27 × 6591

Prime Factorization of 84371

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

84371 = 71 × 171 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 84352 and 84371.

LCM(84352,84371) = 27 × 6591 × 71 × 171 × 7091
LCM(84352,84371) = 7116862592