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What is the Least Common Multiple of 71482 and 71491?

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 71482 and 71491 is 5110319662.

LCM(71482,71491) = 5110319662

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Least Common Multiple of 71482 and 71491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71482 and 71491, than apply into the LCM equation.

GCF(71482,71491) = 1
LCM(71482,71491) = ( 71482 × 71491) / 1
LCM(71482,71491) = 5110319662 / 1
LCM(71482,71491) = 5110319662

Least Common Multiple (LCM) of 71482 and 71491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71482 and 71491. First we will calculate the prime factors of 71482 and 71491.

Prime Factorization of 71482

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

71482 = 21 × 1031 × 3471

Prime Factorization of 71491

Prime factors of 71491 are 7, 1459. Prime factorization of 71491 in exponential form is:

71491 = 72 × 14591

Now multiplying the highest exponent prime factors to calculate the LCM of 71482 and 71491.

LCM(71482,71491) = 21 × 1031 × 3471 × 72 × 14591
LCM(71482,71491) = 5110319662