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What is the Least Common Multiple of 71471 and 71482?

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 71471 and 71482 is 5108890022.

LCM(71471,71482) = 5108890022

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Least Common Multiple of 71471 and 71482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71471 and 71482, than apply into the LCM equation.

GCF(71471,71482) = 1
LCM(71471,71482) = ( 71471 × 71482) / 1
LCM(71471,71482) = 5108890022 / 1
LCM(71471,71482) = 5108890022

Least Common Multiple (LCM) of 71471 and 71482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71471 and 71482. First we will calculate the prime factors of 71471 and 71482.

Prime Factorization of 71471

Prime factors of 71471 are 71471. Prime factorization of 71471 in exponential form is:

71471 = 714711

Prime Factorization of 71482

Prime factors of 71482 are 2, 103, 347. Prime factorization of 71482 in exponential form is:

71482 = 21 × 1031 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 71471 and 71482.

LCM(71471,71482) = 714711 × 21 × 1031 × 3471
LCM(71471,71482) = 5108890022