What is the Least Common Multiple of 15596 and 15616?

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 15596 and 15616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15596 and 15616, than apply into the LCM equation.

GCF(15596,15616) = 4
LCM(15596,15616) = ( 15596 × 15616) / 4
LCM(15596,15616) = 243547136 / 4
LCM(15596,15616) = 60886784

Least Common Multiple (LCM) of 15596 and 15616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15596 and 15616. First we will calculate the prime factors of 15596 and 15616.

Prime Factorization of 15596

Prime Factorization of 15616

Now multiplying the highest exponent prime factors to calculate the LCM of 15596 and 15616.

LCM(15596,15616) = 2⁸ × 7¹ × 557¹ × 61¹
LCM(15596,15616) = 60886784