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What is the Least Common Multiple of 52488 and 52503?

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 52488 and 52503 is 918592488.

LCM(52488,52503) = 918592488

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Least Common Multiple of 52488 and 52503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52488 and 52503, than apply into the LCM equation.

GCF(52488,52503) = 3
LCM(52488,52503) = ( 52488 × 52503) / 3
LCM(52488,52503) = 2755777464 / 3
LCM(52488,52503) = 918592488

Least Common Multiple (LCM) of 52488 and 52503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52488 and 52503. First we will calculate the prime factors of 52488 and 52503.

Prime Factorization of 52488

Prime factors of 52488 are 2, 3. Prime factorization of 52488 in exponential form is:

52488 = 23 × 38

Prime Factorization of 52503

Prime factors of 52503 are 3, 11, 37, 43. Prime factorization of 52503 in exponential form is:

52503 = 31 × 111 × 371 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 52488 and 52503.

LCM(52488,52503) = 23 × 38 × 111 × 371 × 431
LCM(52488,52503) = 918592488