What is the Least Common Multiple of 10944 and 10956?

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 10944 and 10956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10944 and 10956, than apply into the LCM equation.

GCF(10944,10956) = 12
LCM(10944,10956) = ( 10944 × 10956) / 12
LCM(10944,10956) = 119902464 / 12
LCM(10944,10956) = 9991872

Least Common Multiple (LCM) of 10944 and 10956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10944 and 10956. First we will calculate the prime factors of 10944 and 10956.

Prime Factorization of 10944

Prime Factorization of 10956

Now multiplying the highest exponent prime factors to calculate the LCM of 10944 and 10956.

LCM(10944,10956) = 2⁶ × 3² × 19¹ × 11¹ × 83¹
LCM(10944,10956) = 9991872