What is the Least Common Multiple of 13604 and 13616?

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 13604 and 13616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13604 and 13616, than apply into the LCM equation.

GCF(13604,13616) = 4
LCM(13604,13616) = ( 13604 × 13616) / 4
LCM(13604,13616) = 185232064 / 4
LCM(13604,13616) = 46308016

Least Common Multiple (LCM) of 13604 and 13616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13604 and 13616. First we will calculate the prime factors of 13604 and 13616.

Prime Factorization of 13604

Prime Factorization of 13616

Now multiplying the highest exponent prime factors to calculate the LCM of 13604 and 13616.

LCM(13604,13616) = 2⁴ × 19¹ × 179¹ × 23¹ × 37¹
LCM(13604,13616) = 46308016