What is the Least Common Multiple of 13823 and 13830?

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 13823 and 13830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13823 and 13830, than apply into the LCM equation.

GCF(13823,13830) = 1
LCM(13823,13830) = ( 13823 × 13830) / 1
LCM(13823,13830) = 191172090 / 1
LCM(13823,13830) = 191172090

Least Common Multiple (LCM) of 13823 and 13830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13823 and 13830. First we will calculate the prime factors of 13823 and 13830.

Prime Factorization of 13823

Prime Factorization of 13830

Now multiplying the highest exponent prime factors to calculate the LCM of 13823 and 13830.

LCM(13823,13830) = 23¹ × 601¹ × 2¹ × 3¹ × 5¹ × 461¹
LCM(13823,13830) = 191172090