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What is the Least Common Multiple of 5237 and 5242?

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 5237 and 5242 is 27452354.

LCM(5237,5242) = 27452354

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Least Common Multiple of 5237 and 5242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5237 and 5242, than apply into the LCM equation.

GCF(5237,5242) = 1
LCM(5237,5242) = ( 5237 × 5242) / 1
LCM(5237,5242) = 27452354 / 1
LCM(5237,5242) = 27452354

Least Common Multiple (LCM) of 5237 and 5242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5237 and 5242. First we will calculate the prime factors of 5237 and 5242.

Prime Factorization of 5237

Prime factors of 5237 are 5237. Prime factorization of 5237 in exponential form is:

5237 = 52371

Prime Factorization of 5242

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

5242 = 21 × 26211

Now multiplying the highest exponent prime factors to calculate the LCM of 5237 and 5242.

LCM(5237,5242) = 52371 × 21 × 26211
LCM(5237,5242) = 27452354