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What is the Least Common Multiple of 5242 and 5248?

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 5242 and 5248 is 13755008.

LCM(5242,5248) = 13755008

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Least Common Multiple of 5242 and 5248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5242 and 5248, than apply into the LCM equation.

GCF(5242,5248) = 2
LCM(5242,5248) = ( 5242 × 5248) / 2
LCM(5242,5248) = 27510016 / 2
LCM(5242,5248) = 13755008

Least Common Multiple (LCM) of 5242 and 5248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5242 and 5248. First we will calculate the prime factors of 5242 and 5248.

Prime Factorization of 5242

Prime factors of 5242 are 2, 2621. Prime factorization of 5242 in exponential form is:

5242 = 21 × 26211

Prime Factorization of 5248

Prime factors of 5248 are 2, 41. Prime factorization of 5248 in exponential form is:

5248 = 27 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 5242 and 5248.

LCM(5242,5248) = 27 × 26211 × 411
LCM(5242,5248) = 13755008