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What is the Least Common Multiple of 48484 and 48494?

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 48484 and 48494 is 1175591548.

LCM(48484,48494) = 1175591548

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Least Common Multiple of 48484 and 48494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48484 and 48494, than apply into the LCM equation.

GCF(48484,48494) = 2
LCM(48484,48494) = ( 48484 × 48494) / 2
LCM(48484,48494) = 2351183096 / 2
LCM(48484,48494) = 1175591548

Least Common Multiple (LCM) of 48484 and 48494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48484 and 48494. First we will calculate the prime factors of 48484 and 48494.

Prime Factorization of 48484

Prime factors of 48484 are 2, 17, 23, 31. Prime factorization of 48484 in exponential form is:

48484 = 22 × 171 × 231 × 311

Prime Factorization of 48494

Prime factors of 48494 are 2, 24247. Prime factorization of 48494 in exponential form is:

48494 = 21 × 242471

Now multiplying the highest exponent prime factors to calculate the LCM of 48484 and 48494.

LCM(48484,48494) = 22 × 171 × 231 × 311 × 242471
LCM(48484,48494) = 1175591548