What is the Least Common Multiple of 11905 and 11919?

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 11905 and 11919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11905 and 11919, than apply into the LCM equation.

GCF(11905,11919) = 1
LCM(11905,11919) = ( 11905 × 11919) / 1
LCM(11905,11919) = 141895695 / 1
LCM(11905,11919) = 141895695

Least Common Multiple (LCM) of 11905 and 11919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11905 and 11919. First we will calculate the prime factors of 11905 and 11919.

Prime Factorization of 11905

Prime Factorization of 11919

Now multiplying the highest exponent prime factors to calculate the LCM of 11905 and 11919.

LCM(11905,11919) = 5¹ × 2381¹ × 3¹ × 29¹ × 137¹
LCM(11905,11919) = 141895695