What is the Least Common Multiple of 22448 and 22454?

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 22448 and 22454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22448 and 22454, than apply into the LCM equation.

GCF(22448,22454) = 2
LCM(22448,22454) = ( 22448 × 22454) / 2
LCM(22448,22454) = 504047392 / 2
LCM(22448,22454) = 252023696

Least Common Multiple (LCM) of 22448 and 22454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22448 and 22454. First we will calculate the prime factors of 22448 and 22454.

Prime Factorization of 22448

Prime Factorization of 22454

Now multiplying the highest exponent prime factors to calculate the LCM of 22448 and 22454.

LCM(22448,22454) = 2⁴ × 23¹ × 61¹ × 103¹ × 109¹
LCM(22448,22454) = 252023696