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What is the Least Common Multiple of 29063 and 29082?

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 29063 and 29082 is 845210166.

LCM(29063,29082) = 845210166

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Least Common Multiple of 29063 and 29082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29063 and 29082, than apply into the LCM equation.

GCF(29063,29082) = 1
LCM(29063,29082) = ( 29063 × 29082) / 1
LCM(29063,29082) = 845210166 / 1
LCM(29063,29082) = 845210166

Least Common Multiple (LCM) of 29063 and 29082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29063 and 29082. First we will calculate the prime factors of 29063 and 29082.

Prime Factorization of 29063

Prime factors of 29063 are 29063. Prime factorization of 29063 in exponential form is:

29063 = 290631

Prime Factorization of 29082

Prime factors of 29082 are 2, 3, 37, 131. Prime factorization of 29082 in exponential form is:

29082 = 21 × 31 × 371 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 29063 and 29082.

LCM(29063,29082) = 290631 × 21 × 31 × 371 × 1311
LCM(29063,29082) = 845210166