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What is the Least Common Multiple of 84522 and 84539?

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 84522 and 84539 is 7145405358.

LCM(84522,84539) = 7145405358

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Least Common Multiple of 84522 and 84539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84522 and 84539, than apply into the LCM equation.

GCF(84522,84539) = 1
LCM(84522,84539) = ( 84522 × 84539) / 1
LCM(84522,84539) = 7145405358 / 1
LCM(84522,84539) = 7145405358

Least Common Multiple (LCM) of 84522 and 84539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84522 and 84539. First we will calculate the prime factors of 84522 and 84539.

Prime Factorization of 84522

Prime factors of 84522 are 2, 3, 14087. Prime factorization of 84522 in exponential form is:

84522 = 21 × 31 × 140871

Prime Factorization of 84539

Prime factors of 84539 are 7, 13, 929. Prime factorization of 84539 in exponential form is:

84539 = 71 × 131 × 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 84522 and 84539.

LCM(84522,84539) = 21 × 31 × 140871 × 71 × 131 × 9291
LCM(84522,84539) = 7145405358