What is the Least Common Multiple of 11968 and 11976?

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 11968 and 11976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11968 and 11976, than apply into the LCM equation.

GCF(11968,11976) = 8
LCM(11968,11976) = ( 11968 × 11976) / 8
LCM(11968,11976) = 143328768 / 8
LCM(11968,11976) = 17916096

Least Common Multiple (LCM) of 11968 and 11976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11968 and 11976. First we will calculate the prime factors of 11968 and 11976.

Prime Factorization of 11968

Prime Factorization of 11976

Now multiplying the highest exponent prime factors to calculate the LCM of 11968 and 11976.

LCM(11968,11976) = 2⁶ × 11¹ × 17¹ × 3¹ × 499¹
LCM(11968,11976) = 17916096