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What is the Least Common Multiple of 72482 and 72501?

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 72482 and 72501 is 5255017482.

LCM(72482,72501) = 5255017482

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Least Common Multiple of 72482 and 72501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72482 and 72501, than apply into the LCM equation.

GCF(72482,72501) = 1
LCM(72482,72501) = ( 72482 × 72501) / 1
LCM(72482,72501) = 5255017482 / 1
LCM(72482,72501) = 5255017482

Least Common Multiple (LCM) of 72482 and 72501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72482 and 72501. First we will calculate the prime factors of 72482 and 72501.

Prime Factorization of 72482

Prime factors of 72482 are 2, 36241. Prime factorization of 72482 in exponential form is:

72482 = 21 × 362411

Prime Factorization of 72501

Prime factors of 72501 are 3, 11, 13. Prime factorization of 72501 in exponential form is:

72501 = 31 × 111 × 133

Now multiplying the highest exponent prime factors to calculate the LCM of 72482 and 72501.

LCM(72482,72501) = 21 × 362411 × 31 × 111 × 133
LCM(72482,72501) = 5255017482