What is the Least Common Multiple of 10920 and 10939?

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 10939 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 10939, than apply into the LCM equation.

GCF(10920,10939) = 1
LCM(10920,10939) = ( 10920 × 10939) / 1
LCM(10920,10939) = 119453880 / 1
LCM(10920,10939) = 119453880

Least Common Multiple (LCM) of 10920 and 10939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10920 and 10939. First we will calculate the prime factors of 10920 and 10939.

Prime Factorization of 10920

Prime Factorization of 10939

Now multiplying the highest exponent prime factors to calculate the LCM of 10920 and 10939.

LCM(10920,10939) = 2³ × 3¹ × 5¹ × 7¹ × 13¹ × 10939¹
LCM(10920,10939) = 119453880