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What is the Least Common Multiple of 84647 and 84662?

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 84647 and 84662 is 7166384314.

LCM(84647,84662) = 7166384314

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Least Common Multiple of 84647 and 84662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84647 and 84662, than apply into the LCM equation.

GCF(84647,84662) = 1
LCM(84647,84662) = ( 84647 × 84662) / 1
LCM(84647,84662) = 7166384314 / 1
LCM(84647,84662) = 7166384314

Least Common Multiple (LCM) of 84647 and 84662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84647 and 84662. First we will calculate the prime factors of 84647 and 84662.

Prime Factorization of 84647

Prime factors of 84647 are 47, 1801. Prime factorization of 84647 in exponential form is:

84647 = 471 × 18011

Prime Factorization of 84662

Prime factors of 84662 are 2, 42331. Prime factorization of 84662 in exponential form is:

84662 = 21 × 423311

Now multiplying the highest exponent prime factors to calculate the LCM of 84647 and 84662.

LCM(84647,84662) = 471 × 18011 × 21 × 423311
LCM(84647,84662) = 7166384314