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What is the Least Common Multiple of 84232 and 84237?

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 84232 and 84237 is 7095450984.

LCM(84232,84237) = 7095450984

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Least Common Multiple of 84232 and 84237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84232 and 84237, than apply into the LCM equation.

GCF(84232,84237) = 1
LCM(84232,84237) = ( 84232 × 84237) / 1
LCM(84232,84237) = 7095450984 / 1
LCM(84232,84237) = 7095450984

Least Common Multiple (LCM) of 84232 and 84237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84232 and 84237. First we will calculate the prime factors of 84232 and 84237.

Prime Factorization of 84232

Prime factors of 84232 are 2, 10529. Prime factorization of 84232 in exponential form is:

84232 = 23 × 105291

Prime Factorization of 84237

Prime factors of 84237 are 3, 43, 653. Prime factorization of 84237 in exponential form is:

84237 = 31 × 431 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 84232 and 84237.

LCM(84232,84237) = 23 × 105291 × 31 × 431 × 6531
LCM(84232,84237) = 7095450984