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What is the Least Common Multiple of 5608 and 5613?

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 5608 and 5613 is 31477704.

LCM(5608,5613) = 31477704

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Least Common Multiple of 5608 and 5613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5608 and 5613, than apply into the LCM equation.

GCF(5608,5613) = 1
LCM(5608,5613) = ( 5608 × 5613) / 1
LCM(5608,5613) = 31477704 / 1
LCM(5608,5613) = 31477704

Least Common Multiple (LCM) of 5608 and 5613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5608 and 5613. First we will calculate the prime factors of 5608 and 5613.

Prime Factorization of 5608

Prime factors of 5608 are 2, 701. Prime factorization of 5608 in exponential form is:

5608 = 23 × 7011

Prime Factorization of 5613

Prime factors of 5613 are 3, 1871. Prime factorization of 5613 in exponential form is:

5613 = 31 × 18711

Now multiplying the highest exponent prime factors to calculate the LCM of 5608 and 5613.

LCM(5608,5613) = 23 × 7011 × 31 × 18711
LCM(5608,5613) = 31477704