What is the Least Common Multiple of 10938 and 10944?

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 10938 and 10944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10938 and 10944, than apply into the LCM equation.

GCF(10938,10944) = 6
LCM(10938,10944) = ( 10938 × 10944) / 6
LCM(10938,10944) = 119705472 / 6
LCM(10938,10944) = 19950912

Least Common Multiple (LCM) of 10938 and 10944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10938 and 10944. First we will calculate the prime factors of 10938 and 10944.

Prime Factorization of 10938

Prime Factorization of 10944

Now multiplying the highest exponent prime factors to calculate the LCM of 10938 and 10944.

LCM(10938,10944) = 2⁶ × 3² × 1823¹ × 19¹
LCM(10938,10944) = 19950912