What is the Least Common Multiple of 15424 and 15444?

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 15424 and 15444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15424 and 15444, than apply into the LCM equation.

GCF(15424,15444) = 4
LCM(15424,15444) = ( 15424 × 15444) / 4
LCM(15424,15444) = 238208256 / 4
LCM(15424,15444) = 59552064

Least Common Multiple (LCM) of 15424 and 15444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15424 and 15444. First we will calculate the prime factors of 15424 and 15444.

Prime Factorization of 15424

Prime Factorization of 15444

Now multiplying the highest exponent prime factors to calculate the LCM of 15424 and 15444.

LCM(15424,15444) = 2⁶ × 241¹ × 3³ × 11¹ × 13¹
LCM(15424,15444) = 59552064