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What is the Least Common Multiple of 52473 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 52473 and 52487 is 2754150351.

LCM(52473,52487) = 2754150351

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Least Common Multiple of 52473 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 52473 and 52487, than apply into the LCM equation.

GCF(52473,52487) = 1
LCM(52473,52487) = ( 52473 × 52487) / 1
LCM(52473,52487) = 2754150351 / 1
LCM(52473,52487) = 2754150351

Least Common Multiple (LCM) of 52473 and 52487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52473 and 52487. First we will calculate the prime factors of 52473 and 52487.

Prime Factorization of 52473

Prime factors of 52473 are 3, 17491. Prime factorization of 52473 in exponential form is:

52473 = 31 × 174911

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 52473 and 52487.

LCM(52473,52487) = 31 × 174911 × 731 × 7191
LCM(52473,52487) = 2754150351