What is the Least Common Multiple of 15296 and 15300?

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 15296 and 15300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15296 and 15300, than apply into the LCM equation.

GCF(15296,15300) = 4
LCM(15296,15300) = ( 15296 × 15300) / 4
LCM(15296,15300) = 234028800 / 4
LCM(15296,15300) = 58507200

Least Common Multiple (LCM) of 15296 and 15300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15296 and 15300. First we will calculate the prime factors of 15296 and 15300.

Prime Factorization of 15296

Prime Factorization of 15300

Now multiplying the highest exponent prime factors to calculate the LCM of 15296 and 15300.

LCM(15296,15300) = 2⁶ × 239¹ × 3² × 5² × 17¹
LCM(15296,15300) = 58507200