What is the Least Common Multiple of 57810 and 57823?

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 57810 and 57823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57810 and 57823, than apply into the LCM equation.

GCF(57810,57823) = 1
LCM(57810,57823) = ( 57810 × 57823) / 1
LCM(57810,57823) = 3342747630 / 1
LCM(57810,57823) = 3342747630

Least Common Multiple (LCM) of 57810 and 57823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57810 and 57823. First we will calculate the prime factors of 57810 and 57823.

Prime Factorization of 57810

Prime Factorization of 57823

Now multiplying the highest exponent prime factors to calculate the LCM of 57810 and 57823.

LCM(57810,57823) = 2¹ × 3¹ × 5¹ × 41¹ × 47¹ × 53¹ × 1091¹
LCM(57810,57823) = 3342747630