What is the Least Common Multiple of 15104 and 15116?

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 15104 and 15116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15104 and 15116, than apply into the LCM equation.

GCF(15104,15116) = 4
LCM(15104,15116) = ( 15104 × 15116) / 4
LCM(15104,15116) = 228312064 / 4
LCM(15104,15116) = 57078016

Least Common Multiple (LCM) of 15104 and 15116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15104 and 15116. First we will calculate the prime factors of 15104 and 15116.

Prime Factorization of 15104

Prime Factorization of 15116

Now multiplying the highest exponent prime factors to calculate the LCM of 15104 and 15116.

LCM(15104,15116) = 2⁸ × 59¹ × 3779¹
LCM(15104,15116) = 57078016