What is the Least Common Multiple of 11772 and 11776?

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 11772 and 11776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11772 and 11776, than apply into the LCM equation.

GCF(11772,11776) = 4
LCM(11772,11776) = ( 11772 × 11776) / 4
LCM(11772,11776) = 138627072 / 4
LCM(11772,11776) = 34656768

Least Common Multiple (LCM) of 11772 and 11776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11772 and 11776. First we will calculate the prime factors of 11772 and 11776.

Prime Factorization of 11772

Prime Factorization of 11776

Now multiplying the highest exponent prime factors to calculate the LCM of 11772 and 11776.

LCM(11772,11776) = 2⁹ × 3³ × 109¹ × 23¹
LCM(11772,11776) = 34656768