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What is the Least Common Multiple of 84333 and 84344?

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 84333 and 84344 is 7112982552.

LCM(84333,84344) = 7112982552

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Least Common Multiple of 84333 and 84344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84333 and 84344, than apply into the LCM equation.

GCF(84333,84344) = 1
LCM(84333,84344) = ( 84333 × 84344) / 1
LCM(84333,84344) = 7112982552 / 1
LCM(84333,84344) = 7112982552

Least Common Multiple (LCM) of 84333 and 84344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84333 and 84344. First we will calculate the prime factors of 84333 and 84344.

Prime Factorization of 84333

Prime factors of 84333 are 3, 28111. Prime factorization of 84333 in exponential form is:

84333 = 31 × 281111

Prime Factorization of 84344

Prime factors of 84344 are 2, 13, 811. Prime factorization of 84344 in exponential form is:

84344 = 23 × 131 × 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 84333 and 84344.

LCM(84333,84344) = 31 × 281111 × 23 × 131 × 8111
LCM(84333,84344) = 7112982552