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What is the Least Common Multiple of 52502 and 52517?

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 52502 and 52517 is 2757247534.

LCM(52502,52517) = 2757247534

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Least Common Multiple of 52502 and 52517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52502 and 52517, than apply into the LCM equation.

GCF(52502,52517) = 1
LCM(52502,52517) = ( 52502 × 52517) / 1
LCM(52502,52517) = 2757247534 / 1
LCM(52502,52517) = 2757247534

Least Common Multiple (LCM) of 52502 and 52517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52502 and 52517. First we will calculate the prime factors of 52502 and 52517.

Prime Factorization of 52502

Prime factors of 52502 are 2, 26251. Prime factorization of 52502 in exponential form is:

52502 = 21 × 262511

Prime Factorization of 52517

Prime factors of 52517 are 52517. Prime factorization of 52517 in exponential form is:

52517 = 525171

Now multiplying the highest exponent prime factors to calculate the LCM of 52502 and 52517.

LCM(52502,52517) = 21 × 262511 × 525171
LCM(52502,52517) = 2757247534