What is the Least Common Multiple of 5608 and 5617?

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 of 5608 and 5617 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 5617, than apply into the LCM equation.

GCF(5608,5617) = 1
LCM(5608,5617) = ( 5608 × 5617) / 1
LCM(5608,5617) = 31500136 / 1
LCM(5608,5617) = 31500136

Least Common Multiple (LCM) of 5608 and 5617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5608 and 5617. First we will calculate the prime factors of 5608 and 5617.

Prime Factorization of 5608

Prime Factorization of 5617

Now multiplying the highest exponent prime factors to calculate the LCM of 5608 and 5617.

LCM(5608,5617) = 2³ × 701¹ × 41¹ × 137¹
LCM(5608,5617) = 31500136