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What is the Least Common Multiple of 5682 and 5696?

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 5682 and 5696 is 16182336.

LCM(5682,5696) = 16182336

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Least Common Multiple of 5682 and 5696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5682 and 5696, than apply into the LCM equation.

GCF(5682,5696) = 2
LCM(5682,5696) = ( 5682 × 5696) / 2
LCM(5682,5696) = 32364672 / 2
LCM(5682,5696) = 16182336

Least Common Multiple (LCM) of 5682 and 5696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5682 and 5696. First we will calculate the prime factors of 5682 and 5696.

Prime Factorization of 5682

Prime factors of 5682 are 2, 3, 947. Prime factorization of 5682 in exponential form is:

5682 = 21 × 31 × 9471

Prime Factorization of 5696

Prime factors of 5696 are 2, 89. Prime factorization of 5696 in exponential form is:

5696 = 26 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 5682 and 5696.

LCM(5682,5696) = 26 × 31 × 9471 × 891
LCM(5682,5696) = 16182336