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What is the Least Common Multiple of 5326 and 5332?

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 5326 and 5332 is 14199116.

LCM(5326,5332) = 14199116

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Least Common Multiple of 5326 and 5332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5326 and 5332, than apply into the LCM equation.

GCF(5326,5332) = 2
LCM(5326,5332) = ( 5326 × 5332) / 2
LCM(5326,5332) = 28398232 / 2
LCM(5326,5332) = 14199116

Least Common Multiple (LCM) of 5326 and 5332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5326 and 5332. First we will calculate the prime factors of 5326 and 5332.

Prime Factorization of 5326

Prime factors of 5326 are 2, 2663. Prime factorization of 5326 in exponential form is:

5326 = 21 × 26631

Prime Factorization of 5332

Prime factors of 5332 are 2, 31, 43. Prime factorization of 5332 in exponential form is:

5332 = 22 × 311 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 5326 and 5332.

LCM(5326,5332) = 22 × 26631 × 311 × 431
LCM(5326,5332) = 14199116