What is the Least Common Multiple of 11919 and 11934?

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 11919 and 11934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11919 and 11934, than apply into the LCM equation.

GCF(11919,11934) = 3
LCM(11919,11934) = ( 11919 × 11934) / 3
LCM(11919,11934) = 142241346 / 3
LCM(11919,11934) = 47413782

Least Common Multiple (LCM) of 11919 and 11934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11919 and 11934. First we will calculate the prime factors of 11919 and 11934.

Prime Factorization of 11919

Prime Factorization of 11934

Now multiplying the highest exponent prime factors to calculate the LCM of 11919 and 11934.

LCM(11919,11934) = 3³ × 29¹ × 137¹ × 2¹ × 13¹ × 17¹
LCM(11919,11934) = 47413782