What is the Least Common Multiple of 11955 and 11960?

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 11955 and 11960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11955 and 11960, than apply into the LCM equation.

GCF(11955,11960) = 5
LCM(11955,11960) = ( 11955 × 11960) / 5
LCM(11955,11960) = 142981800 / 5
LCM(11955,11960) = 28596360

Least Common Multiple (LCM) of 11955 and 11960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11955 and 11960. First we will calculate the prime factors of 11955 and 11960.

Prime Factorization of 11955

Prime Factorization of 11960

Now multiplying the highest exponent prime factors to calculate the LCM of 11955 and 11960.

LCM(11955,11960) = 3¹ × 5¹ × 797¹ × 2³ × 13¹ × 23¹
LCM(11955,11960) = 28596360