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What is the Least Common Multiple of 80482 and 80501?

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 80482 and 80501 is 6478881482.

LCM(80482,80501) = 6478881482

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Least Common Multiple of 80482 and 80501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80482 and 80501, than apply into the LCM equation.

GCF(80482,80501) = 1
LCM(80482,80501) = ( 80482 × 80501) / 1
LCM(80482,80501) = 6478881482 / 1
LCM(80482,80501) = 6478881482

Least Common Multiple (LCM) of 80482 and 80501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80482 and 80501. First we will calculate the prime factors of 80482 and 80501.

Prime Factorization of 80482

Prime factors of 80482 are 2, 40241. Prime factorization of 80482 in exponential form is:

80482 = 21 × 402411

Prime Factorization of 80501

Prime factors of 80501 are 79, 1019. Prime factorization of 80501 in exponential form is:

80501 = 791 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 80482 and 80501.

LCM(80482,80501) = 21 × 402411 × 791 × 10191
LCM(80482,80501) = 6478881482