What is the Least Common Multiple of 17830 and 17849?

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 17849 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 17849, than apply into the LCM equation.

GCF(17830,17849) = 1
LCM(17830,17849) = ( 17830 × 17849) / 1
LCM(17830,17849) = 318247670 / 1
LCM(17830,17849) = 318247670

Least Common Multiple (LCM) of 17830 and 17849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17830 and 17849. First we will calculate the prime factors of 17830 and 17849.

Prime Factorization of 17830

Prime Factorization of 17849

Now multiplying the highest exponent prime factors to calculate the LCM of 17830 and 17849.

LCM(17830,17849) = 2¹ × 5¹ × 1783¹ × 13¹ × 1373¹
LCM(17830,17849) = 318247670