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What is the Least Common Multiple of 84407 and 84421?

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 84407 and 84421 is 7125723347.

LCM(84407,84421) = 7125723347

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Least Common Multiple of 84407 and 84421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84407 and 84421, than apply into the LCM equation.

GCF(84407,84421) = 1
LCM(84407,84421) = ( 84407 × 84421) / 1
LCM(84407,84421) = 7125723347 / 1
LCM(84407,84421) = 7125723347

Least Common Multiple (LCM) of 84407 and 84421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84407 and 84421. First we will calculate the prime factors of 84407 and 84421.

Prime Factorization of 84407

Prime factors of 84407 are 84407. Prime factorization of 84407 in exponential form is:

84407 = 844071

Prime Factorization of 84421

Prime factors of 84421 are 84421. Prime factorization of 84421 in exponential form is:

84421 = 844211

Now multiplying the highest exponent prime factors to calculate the LCM of 84407 and 84421.

LCM(84407,84421) = 844071 × 844211
LCM(84407,84421) = 7125723347