What is the Least Common Multiple of 10840 and 10851?

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 10840 and 10851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10840 and 10851, than apply into the LCM equation.

GCF(10840,10851) = 1
LCM(10840,10851) = ( 10840 × 10851) / 1
LCM(10840,10851) = 117624840 / 1
LCM(10840,10851) = 117624840

Least Common Multiple (LCM) of 10840 and 10851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10840 and 10851. First we will calculate the prime factors of 10840 and 10851.

Prime Factorization of 10840

Prime Factorization of 10851

Now multiplying the highest exponent prime factors to calculate the LCM of 10840 and 10851.

LCM(10840,10851) = 2³ × 5¹ × 271¹ × 3¹ × 3617¹
LCM(10840,10851) = 117624840