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What is the Least Common Multiple of 52482 and 52487?

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 52482 and 52487 is 2754622734.

LCM(52482,52487) = 2754622734

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Least Common Multiple of 52482 and 52487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52482 and 52487, than apply into the LCM equation.

GCF(52482,52487) = 1
LCM(52482,52487) = ( 52482 × 52487) / 1
LCM(52482,52487) = 2754622734 / 1
LCM(52482,52487) = 2754622734

Least Common Multiple (LCM) of 52482 and 52487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52482 and 52487. First we will calculate the prime factors of 52482 and 52487.

Prime Factorization of 52482

Prime factors of 52482 are 2, 3, 8747. Prime factorization of 52482 in exponential form is:

52482 = 21 × 31 × 87471

Prime Factorization of 52487

Prime factors of 52487 are 73, 719. Prime factorization of 52487 in exponential form is:

52487 = 731 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 52482 and 52487.

LCM(52482,52487) = 21 × 31 × 87471 × 731 × 7191
LCM(52482,52487) = 2754622734