What is the Least Common Multiple of 10920 and 10938?

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 10920 and 10938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10920 and 10938, than apply into the LCM equation.

GCF(10920,10938) = 6
LCM(10920,10938) = ( 10920 × 10938) / 6
LCM(10920,10938) = 119442960 / 6
LCM(10920,10938) = 19907160

Least Common Multiple (LCM) of 10920 and 10938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10920 and 10938. First we will calculate the prime factors of 10920 and 10938.

Prime Factorization of 10920

Prime Factorization of 10938

Now multiplying the highest exponent prime factors to calculate the LCM of 10920 and 10938.

LCM(10920,10938) = 2³ × 3¹ × 5¹ × 7¹ × 13¹ × 1823¹
LCM(10920,10938) = 19907160