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What is the Least Common Multiple of 5327 and 5338?

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 5327 and 5338 is 28435526.

LCM(5327,5338) = 28435526

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Least Common Multiple of 5327 and 5338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5327 and 5338, than apply into the LCM equation.

GCF(5327,5338) = 1
LCM(5327,5338) = ( 5327 × 5338) / 1
LCM(5327,5338) = 28435526 / 1
LCM(5327,5338) = 28435526

Least Common Multiple (LCM) of 5327 and 5338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5327 and 5338. First we will calculate the prime factors of 5327 and 5338.

Prime Factorization of 5327

Prime factors of 5327 are 7, 761. Prime factorization of 5327 in exponential form is:

5327 = 71 × 7611

Prime Factorization of 5338

Prime factors of 5338 are 2, 17, 157. Prime factorization of 5338 in exponential form is:

5338 = 21 × 171 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 5327 and 5338.

LCM(5327,5338) = 71 × 7611 × 21 × 171 × 1571
LCM(5327,5338) = 28435526