What is the Least Common Multiple of 13434 and 13444?

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 13434 and 13444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13434 and 13444, than apply into the LCM equation.

GCF(13434,13444) = 2
LCM(13434,13444) = ( 13434 × 13444) / 2
LCM(13434,13444) = 180606696 / 2
LCM(13434,13444) = 90303348

Least Common Multiple (LCM) of 13434 and 13444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13434 and 13444. First we will calculate the prime factors of 13434 and 13444.

Prime Factorization of 13434

Prime Factorization of 13444

Now multiplying the highest exponent prime factors to calculate the LCM of 13434 and 13444.

LCM(13434,13444) = 2² × 3¹ × 2239¹ × 3361¹
LCM(13434,13444) = 90303348