What is the Least Common Multiple of 11405 and 11416?

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 11405 and 11416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11405 and 11416, than apply into the LCM equation.

GCF(11405,11416) = 1
LCM(11405,11416) = ( 11405 × 11416) / 1
LCM(11405,11416) = 130199480 / 1
LCM(11405,11416) = 130199480

Least Common Multiple (LCM) of 11405 and 11416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11405 and 11416. First we will calculate the prime factors of 11405 and 11416.

Prime Factorization of 11405

Prime Factorization of 11416

Now multiplying the highest exponent prime factors to calculate the LCM of 11405 and 11416.

LCM(11405,11416) = 5¹ × 2281¹ × 2³ × 1427¹
LCM(11405,11416) = 130199480