What is the Least Common Multiple of 15408 and 15424?

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 15408 and 15424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15408 and 15424, than apply into the LCM equation.

GCF(15408,15424) = 16
LCM(15408,15424) = ( 15408 × 15424) / 16
LCM(15408,15424) = 237652992 / 16
LCM(15408,15424) = 14853312

Least Common Multiple (LCM) of 15408 and 15424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15408 and 15424. First we will calculate the prime factors of 15408 and 15424.

Prime Factorization of 15408

Prime Factorization of 15424

Now multiplying the highest exponent prime factors to calculate the LCM of 15408 and 15424.

LCM(15408,15424) = 2⁶ × 3² × 107¹ × 241¹
LCM(15408,15424) = 14853312