What is the Least Common Multiple of 11937 and 11955?

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 11937 and 11955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11937 and 11955, than apply into the LCM equation.

GCF(11937,11955) = 3
LCM(11937,11955) = ( 11937 × 11955) / 3
LCM(11937,11955) = 142706835 / 3
LCM(11937,11955) = 47568945

Least Common Multiple (LCM) of 11937 and 11955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11937 and 11955. First we will calculate the prime factors of 11937 and 11955.

Prime Factorization of 11937

Prime Factorization of 11955

Now multiplying the highest exponent prime factors to calculate the LCM of 11937 and 11955.

LCM(11937,11955) = 3¹ × 23¹ × 173¹ × 5¹ × 797¹
LCM(11937,11955) = 47568945