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What is the Least Common Multiple of 84430 and 84444?

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 84430 and 84444 is 3564803460.

LCM(84430,84444) = 3564803460

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Least Common Multiple of 84430 and 84444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84430 and 84444, than apply into the LCM equation.

GCF(84430,84444) = 2
LCM(84430,84444) = ( 84430 × 84444) / 2
LCM(84430,84444) = 7129606920 / 2
LCM(84430,84444) = 3564803460

Least Common Multiple (LCM) of 84430 and 84444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84430 and 84444. First we will calculate the prime factors of 84430 and 84444.

Prime Factorization of 84430

Prime factors of 84430 are 2, 5, 8443. Prime factorization of 84430 in exponential form is:

84430 = 21 × 51 × 84431

Prime Factorization of 84444

Prime factors of 84444 are 2, 3, 31, 227. Prime factorization of 84444 in exponential form is:

84444 = 22 × 31 × 311 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 84430 and 84444.

LCM(84430,84444) = 22 × 51 × 84431 × 31 × 311 × 2271
LCM(84430,84444) = 3564803460