What is the Least Common Multiple of 5604 and 5616?

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 5604 and 5616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5604 and 5616, than apply into the LCM equation.

GCF(5604,5616) = 12
LCM(5604,5616) = ( 5604 × 5616) / 12
LCM(5604,5616) = 31472064 / 12
LCM(5604,5616) = 2622672

Least Common Multiple (LCM) of 5604 and 5616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5604 and 5616. First we will calculate the prime factors of 5604 and 5616.

Prime Factorization of 5604

Prime Factorization of 5616

Now multiplying the highest exponent prime factors to calculate the LCM of 5604 and 5616.

LCM(5604,5616) = 2⁴ × 3³ × 467¹ × 13¹
LCM(5604,5616) = 2622672