What is the Least Common Multiple of 10830 and 10840?

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 10830 and 10840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10830 and 10840, than apply into the LCM equation.

GCF(10830,10840) = 10
LCM(10830,10840) = ( 10830 × 10840) / 10
LCM(10830,10840) = 117397200 / 10
LCM(10830,10840) = 11739720

Least Common Multiple (LCM) of 10830 and 10840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10830 and 10840. First we will calculate the prime factors of 10830 and 10840.

Prime Factorization of 10830

Prime Factorization of 10840

Now multiplying the highest exponent prime factors to calculate the LCM of 10830 and 10840.

LCM(10830,10840) = 2³ × 3¹ × 5¹ × 19² × 271¹
LCM(10830,10840) = 11739720