What is the Least Common Multiple of 11445 and 11454?

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 11445 and 11454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11445 and 11454, than apply into the LCM equation.

GCF(11445,11454) = 3
LCM(11445,11454) = ( 11445 × 11454) / 3
LCM(11445,11454) = 131091030 / 3
LCM(11445,11454) = 43697010

Least Common Multiple (LCM) of 11445 and 11454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11445 and 11454. First we will calculate the prime factors of 11445 and 11454.

Prime Factorization of 11445

Prime Factorization of 11454

Now multiplying the highest exponent prime factors to calculate the LCM of 11445 and 11454.

LCM(11445,11454) = 3¹ × 5¹ × 7¹ × 109¹ × 2¹ × 23¹ × 83¹
LCM(11445,11454) = 43697010