What is the Least Common Multiple of 10944 and 10950?

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 10950 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 10950, than apply into the LCM equation.

GCF(10944,10950) = 6
LCM(10944,10950) = ( 10944 × 10950) / 6
LCM(10944,10950) = 119836800 / 6
LCM(10944,10950) = 19972800

Least Common Multiple (LCM) of 10944 and 10950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10944 and 10950. First we will calculate the prime factors of 10944 and 10950.

Prime Factorization of 10944

Prime Factorization of 10950

Now multiplying the highest exponent prime factors to calculate the LCM of 10944 and 10950.

LCM(10944,10950) = 2⁶ × 3² × 19¹ × 5² × 73¹
LCM(10944,10950) = 19972800