What is the Least Common Multiple of 11454 and 11472?

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 11454 and 11472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11454 and 11472, than apply into the LCM equation.

GCF(11454,11472) = 6
LCM(11454,11472) = ( 11454 × 11472) / 6
LCM(11454,11472) = 131400288 / 6
LCM(11454,11472) = 21900048

Least Common Multiple (LCM) of 11454 and 11472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11454 and 11472. First we will calculate the prime factors of 11454 and 11472.

Prime Factorization of 11454

Prime Factorization of 11472

Now multiplying the highest exponent prime factors to calculate the LCM of 11454 and 11472.

LCM(11454,11472) = 2⁴ × 3¹ × 23¹ × 83¹ × 239¹
LCM(11454,11472) = 21900048