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What is the Least Common Multiple of 48241 and 48247?

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 48241 and 48247 is 2327483527.

LCM(48241,48247) = 2327483527

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Least Common Multiple of 48241 and 48247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48241 and 48247, than apply into the LCM equation.

GCF(48241,48247) = 1
LCM(48241,48247) = ( 48241 × 48247) / 1
LCM(48241,48247) = 2327483527 / 1
LCM(48241,48247) = 2327483527

Least Common Multiple (LCM) of 48241 and 48247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48241 and 48247. First we will calculate the prime factors of 48241 and 48247.

Prime Factorization of 48241

Prime factors of 48241 are 19, 2539. Prime factorization of 48241 in exponential form is:

48241 = 191 × 25391

Prime Factorization of 48247

Prime factors of 48247 are 48247. Prime factorization of 48247 in exponential form is:

48247 = 482471

Now multiplying the highest exponent prime factors to calculate the LCM of 48241 and 48247.

LCM(48241,48247) = 191 × 25391 × 482471
LCM(48241,48247) = 2327483527