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What is the Least Common Multiple of 84319 and 84338?

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 84319 and 84338 is 7111295822.

LCM(84319,84338) = 7111295822

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Least Common Multiple of 84319 and 84338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84319 and 84338, than apply into the LCM equation.

GCF(84319,84338) = 1
LCM(84319,84338) = ( 84319 × 84338) / 1
LCM(84319,84338) = 7111295822 / 1
LCM(84319,84338) = 7111295822

Least Common Multiple (LCM) of 84319 and 84338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84319 and 84338. First we will calculate the prime factors of 84319 and 84338.

Prime Factorization of 84319

Prime factors of 84319 are 84319. Prime factorization of 84319 in exponential form is:

84319 = 843191

Prime Factorization of 84338

Prime factors of 84338 are 2, 42169. Prime factorization of 84338 in exponential form is:

84338 = 21 × 421691

Now multiplying the highest exponent prime factors to calculate the LCM of 84319 and 84338.

LCM(84319,84338) = 843191 × 21 × 421691
LCM(84319,84338) = 7111295822