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What is the Least Common Multiple of 48482 and 48496?

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 48482 and 48496 is 167941648.

LCM(48482,48496) = 167941648

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Least Common Multiple of 48482 and 48496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48482 and 48496, than apply into the LCM equation.

GCF(48482,48496) = 14
LCM(48482,48496) = ( 48482 × 48496) / 14
LCM(48482,48496) = 2351183072 / 14
LCM(48482,48496) = 167941648

Least Common Multiple (LCM) of 48482 and 48496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48482 and 48496. First we will calculate the prime factors of 48482 and 48496.

Prime Factorization of 48482

Prime factors of 48482 are 2, 7, 3463. Prime factorization of 48482 in exponential form is:

48482 = 21 × 71 × 34631

Prime Factorization of 48496

Prime factors of 48496 are 2, 7, 433. Prime factorization of 48496 in exponential form is:

48496 = 24 × 71 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 48482 and 48496.

LCM(48482,48496) = 24 × 71 × 34631 × 4331
LCM(48482,48496) = 167941648