What is the Least Common Multiple of 57830 and 57838?

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 57830 and 57838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57830 and 57838, than apply into the LCM equation.

GCF(57830,57838) = 2
LCM(57830,57838) = ( 57830 × 57838) / 2
LCM(57830,57838) = 3344771540 / 2
LCM(57830,57838) = 1672385770

Least Common Multiple (LCM) of 57830 and 57838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57830 and 57838. First we will calculate the prime factors of 57830 and 57838.

Prime Factorization of 57830

Prime Factorization of 57838

Now multiplying the highest exponent prime factors to calculate the LCM of 57830 and 57838.

LCM(57830,57838) = 2¹ × 5¹ × 5783¹ × 11² × 239¹
LCM(57830,57838) = 1672385770