What is the Least Common Multiple of 10830 and 10846?

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 10846 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 10846, than apply into the LCM equation.

GCF(10830,10846) = 2
LCM(10830,10846) = ( 10830 × 10846) / 2
LCM(10830,10846) = 117462180 / 2
LCM(10830,10846) = 58731090

Least Common Multiple (LCM) of 10830 and 10846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10830 and 10846. First we will calculate the prime factors of 10830 and 10846.

Prime Factorization of 10830

Prime Factorization of 10846

Now multiplying the highest exponent prime factors to calculate the LCM of 10830 and 10846.

LCM(10830,10846) = 2¹ × 3¹ × 5¹ × 19² × 11¹ × 17¹ × 29¹
LCM(10830,10846) = 58731090