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What is the Least Common Multiple of 84226 and 84232?

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 84226 and 84232 is 3547262216.

LCM(84226,84232) = 3547262216

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Least Common Multiple of 84226 and 84232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84226 and 84232, than apply into the LCM equation.

GCF(84226,84232) = 2
LCM(84226,84232) = ( 84226 × 84232) / 2
LCM(84226,84232) = 7094524432 / 2
LCM(84226,84232) = 3547262216

Least Common Multiple (LCM) of 84226 and 84232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84226 and 84232. First we will calculate the prime factors of 84226 and 84232.

Prime Factorization of 84226

Prime factors of 84226 are 2, 23, 1831. Prime factorization of 84226 in exponential form is:

84226 = 21 × 231 × 18311

Prime Factorization of 84232

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

84232 = 23 × 105291

Now multiplying the highest exponent prime factors to calculate the LCM of 84226 and 84232.

LCM(84226,84232) = 23 × 231 × 18311 × 105291
LCM(84226,84232) = 3547262216