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What is the Least Common Multiple of 84841 and 84858?

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 84841 and 84858 is 7199437578.

LCM(84841,84858) = 7199437578

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Least Common Multiple of 84841 and 84858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84841 and 84858, than apply into the LCM equation.

GCF(84841,84858) = 1
LCM(84841,84858) = ( 84841 × 84858) / 1
LCM(84841,84858) = 7199437578 / 1
LCM(84841,84858) = 7199437578

Least Common Multiple (LCM) of 84841 and 84858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84841 and 84858. First we will calculate the prime factors of 84841 and 84858.

Prime Factorization of 84841

Prime factors of 84841 are 37, 2293. Prime factorization of 84841 in exponential form is:

84841 = 371 × 22931

Prime Factorization of 84858

Prime factors of 84858 are 2, 3, 14143. Prime factorization of 84858 in exponential form is:

84858 = 21 × 31 × 141431

Now multiplying the highest exponent prime factors to calculate the LCM of 84841 and 84858.

LCM(84841,84858) = 371 × 22931 × 21 × 31 × 141431
LCM(84841,84858) = 7199437578