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What is the Least Common Multiple of 52483 and 52502?

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 52483 and 52502 is 2755462466.

LCM(52483,52502) = 2755462466

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Least Common Multiple of 52483 and 52502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52483 and 52502, than apply into the LCM equation.

GCF(52483,52502) = 1
LCM(52483,52502) = ( 52483 × 52502) / 1
LCM(52483,52502) = 2755462466 / 1
LCM(52483,52502) = 2755462466

Least Common Multiple (LCM) of 52483 and 52502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52483 and 52502. First we will calculate the prime factors of 52483 and 52502.

Prime Factorization of 52483

Prime factors of 52483 are 31, 1693. Prime factorization of 52483 in exponential form is:

52483 = 311 × 16931

Prime Factorization of 52502

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

52502 = 21 × 262511

Now multiplying the highest exponent prime factors to calculate the LCM of 52483 and 52502.

LCM(52483,52502) = 311 × 16931 × 21 × 262511
LCM(52483,52502) = 2755462466