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What is the Least Common Multiple of 84602 and 84613?

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 84602 and 84613 is 7158429026.

LCM(84602,84613) = 7158429026

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Least Common Multiple of 84602 and 84613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84602 and 84613, than apply into the LCM equation.

GCF(84602,84613) = 1
LCM(84602,84613) = ( 84602 × 84613) / 1
LCM(84602,84613) = 7158429026 / 1
LCM(84602,84613) = 7158429026

Least Common Multiple (LCM) of 84602 and 84613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84602 and 84613. First we will calculate the prime factors of 84602 and 84613.

Prime Factorization of 84602

Prime factors of 84602 are 2, 7, 6043. Prime factorization of 84602 in exponential form is:

84602 = 21 × 71 × 60431

Prime Factorization of 84613

Prime factors of 84613 are 191, 443. Prime factorization of 84613 in exponential form is:

84613 = 1911 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 84602 and 84613.

LCM(84602,84613) = 21 × 71 × 60431 × 1911 × 4431
LCM(84602,84613) = 7158429026