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What is the Least Common Multiple of 5282 and 5298?

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 5282 and 5298 is 13992018.

LCM(5282,5298) = 13992018

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Least Common Multiple of 5282 and 5298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5282 and 5298, than apply into the LCM equation.

GCF(5282,5298) = 2
LCM(5282,5298) = ( 5282 × 5298) / 2
LCM(5282,5298) = 27984036 / 2
LCM(5282,5298) = 13992018

Least Common Multiple (LCM) of 5282 and 5298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5282 and 5298. First we will calculate the prime factors of 5282 and 5298.

Prime Factorization of 5282

Prime factors of 5282 are 2, 19, 139. Prime factorization of 5282 in exponential form is:

5282 = 21 × 191 × 1391

Prime Factorization of 5298

Prime factors of 5298 are 2, 3, 883. Prime factorization of 5298 in exponential form is:

5298 = 21 × 31 × 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 5282 and 5298.

LCM(5282,5298) = 21 × 191 × 1391 × 31 × 8831
LCM(5282,5298) = 13992018