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What is the Least Common Multiple of 52482 and 52491?

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 52491 is 918277554.

LCM(52482,52491) = 918277554

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Least Common Multiple of 52482 and 52491 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 52491, than apply into the LCM equation.

GCF(52482,52491) = 3
LCM(52482,52491) = ( 52482 × 52491) / 3
LCM(52482,52491) = 2754832662 / 3
LCM(52482,52491) = 918277554

Least Common Multiple (LCM) of 52482 and 52491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52482 and 52491. First we will calculate the prime factors of 52482 and 52491.

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 52491

Prime factors of 52491 are 3, 17497. Prime factorization of 52491 in exponential form is:

52491 = 31 × 174971

Now multiplying the highest exponent prime factors to calculate the LCM of 52482 and 52491.

LCM(52482,52491) = 21 × 31 × 87471 × 174971
LCM(52482,52491) = 918277554