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What is the Least Common Multiple of 48283 and 48299?

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 48283 and 48299 is 2332020617.

LCM(48283,48299) = 2332020617

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Least Common Multiple of 48283 and 48299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48283 and 48299, than apply into the LCM equation.

GCF(48283,48299) = 1
LCM(48283,48299) = ( 48283 × 48299) / 1
LCM(48283,48299) = 2332020617 / 1
LCM(48283,48299) = 2332020617

Least Common Multiple (LCM) of 48283 and 48299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48283 and 48299. First we will calculate the prime factors of 48283 and 48299.

Prime Factorization of 48283

Prime factors of 48283 are 53, 911. Prime factorization of 48283 in exponential form is:

48283 = 531 × 9111

Prime Factorization of 48299

Prime factors of 48299 are 48299. Prime factorization of 48299 in exponential form is:

48299 = 482991

Now multiplying the highest exponent prime factors to calculate the LCM of 48283 and 48299.

LCM(48283,48299) = 531 × 9111 × 482991
LCM(48283,48299) = 2332020617