What is the Least Common Multiple of 11459 and 11473?

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 11459 and 11473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11459 and 11473, than apply into the LCM equation.

GCF(11459,11473) = 7
LCM(11459,11473) = ( 11459 × 11473) / 7
LCM(11459,11473) = 131469107 / 7
LCM(11459,11473) = 18781301

Least Common Multiple (LCM) of 11459 and 11473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11459 and 11473. First we will calculate the prime factors of 11459 and 11473.

Prime Factorization of 11459

Prime Factorization of 11473

Now multiplying the highest exponent prime factors to calculate the LCM of 11459 and 11473.

LCM(11459,11473) = 7¹ × 1637¹ × 11¹ × 149¹
LCM(11459,11473) = 18781301