What is the Least Common Multiple of 11960 and 11975?

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 11960 and 11975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11960 and 11975, than apply into the LCM equation.

GCF(11960,11975) = 5
LCM(11960,11975) = ( 11960 × 11975) / 5
LCM(11960,11975) = 143221000 / 5
LCM(11960,11975) = 28644200

Least Common Multiple (LCM) of 11960 and 11975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11960 and 11975. First we will calculate the prime factors of 11960 and 11975.

Prime Factorization of 11960

Prime Factorization of 11975

Now multiplying the highest exponent prime factors to calculate the LCM of 11960 and 11975.

LCM(11960,11975) = 2³ × 5² × 13¹ × 23¹ × 479¹
LCM(11960,11975) = 28644200