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What is the Least Common Multiple of 71062 and 71079?

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 71062 and 71079 is 5051015898.

LCM(71062,71079) = 5051015898

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Least Common Multiple of 71062 and 71079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71062 and 71079, than apply into the LCM equation.

GCF(71062,71079) = 1
LCM(71062,71079) = ( 71062 × 71079) / 1
LCM(71062,71079) = 5051015898 / 1
LCM(71062,71079) = 5051015898

Least Common Multiple (LCM) of 71062 and 71079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71062 and 71079. First we will calculate the prime factors of 71062 and 71079.

Prime Factorization of 71062

Prime factors of 71062 are 2, 35531. Prime factorization of 71062 in exponential form is:

71062 = 21 × 355311

Prime Factorization of 71079

Prime factors of 71079 are 3, 19, 29, 43. Prime factorization of 71079 in exponential form is:

71079 = 31 × 191 × 291 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 71062 and 71079.

LCM(71062,71079) = 21 × 355311 × 31 × 191 × 291 × 431
LCM(71062,71079) = 5051015898