What is the Least Common Multiple of 17830 and 17846?

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 17830 and 17846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17830 and 17846, than apply into the LCM equation.

GCF(17830,17846) = 2
LCM(17830,17846) = ( 17830 × 17846) / 2
LCM(17830,17846) = 318194180 / 2
LCM(17830,17846) = 159097090

Least Common Multiple (LCM) of 17830 and 17846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17830 and 17846. First we will calculate the prime factors of 17830 and 17846.

Prime Factorization of 17830

Prime Factorization of 17846

Now multiplying the highest exponent prime factors to calculate the LCM of 17830 and 17846.

LCM(17830,17846) = 2¹ × 5¹ × 1783¹ × 8923¹
LCM(17830,17846) = 159097090