What is the Least Common Multiple of 11445 and 11459?

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 11459 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 11459, than apply into the LCM equation.

GCF(11445,11459) = 7
LCM(11445,11459) = ( 11445 × 11459) / 7
LCM(11445,11459) = 131148255 / 7
LCM(11445,11459) = 18735465

Least Common Multiple (LCM) of 11445 and 11459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11445 and 11459. First we will calculate the prime factors of 11445 and 11459.

Prime Factorization of 11445

Prime Factorization of 11459

Now multiplying the highest exponent prime factors to calculate the LCM of 11445 and 11459.

LCM(11445,11459) = 3¹ × 5¹ × 7¹ × 109¹ × 1637¹
LCM(11445,11459) = 18735465