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What is the Least Common Multiple of 84218 and 84223?

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 84218 and 84223 is 7093092614.

LCM(84218,84223) = 7093092614

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Least Common Multiple of 84218 and 84223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84218 and 84223, than apply into the LCM equation.

GCF(84218,84223) = 1
LCM(84218,84223) = ( 84218 × 84223) / 1
LCM(84218,84223) = 7093092614 / 1
LCM(84218,84223) = 7093092614

Least Common Multiple (LCM) of 84218 and 84223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84218 and 84223. First we will calculate the prime factors of 84218 and 84223.

Prime Factorization of 84218

Prime factors of 84218 are 2, 17, 2477. Prime factorization of 84218 in exponential form is:

84218 = 21 × 171 × 24771

Prime Factorization of 84223

Prime factors of 84223 are 84223. Prime factorization of 84223 in exponential form is:

84223 = 842231

Now multiplying the highest exponent prime factors to calculate the LCM of 84218 and 84223.

LCM(84218,84223) = 21 × 171 × 24771 × 842231
LCM(84218,84223) = 7093092614