What is the Least Common Multiple of 11505 and 11523?

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 11505 and 11523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11505 and 11523, than apply into the LCM equation.

GCF(11505,11523) = 3
LCM(11505,11523) = ( 11505 × 11523) / 3
LCM(11505,11523) = 132572115 / 3
LCM(11505,11523) = 44190705

Least Common Multiple (LCM) of 11505 and 11523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11505 and 11523. First we will calculate the prime factors of 11505 and 11523.

Prime Factorization of 11505

Prime Factorization of 11523

Now multiplying the highest exponent prime factors to calculate the LCM of 11505 and 11523.

LCM(11505,11523) = 3¹ × 5¹ × 13¹ × 59¹ × 23¹ × 167¹
LCM(11505,11523) = 44190705