What is the Least Common Multiple of 23829 and 23842?

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 23829 and 23842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23829 and 23842, than apply into the LCM equation.

GCF(23829,23842) = 13
LCM(23829,23842) = ( 23829 × 23842) / 13
LCM(23829,23842) = 568131018 / 13
LCM(23829,23842) = 43702386

Least Common Multiple (LCM) of 23829 and 23842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23829 and 23842. First we will calculate the prime factors of 23829 and 23842.

Prime Factorization of 23829

Prime Factorization of 23842

Now multiplying the highest exponent prime factors to calculate the LCM of 23829 and 23842.

LCM(23829,23842) = 3¹ × 13² × 47¹ × 2¹ × 7¹ × 131¹
LCM(23829,23842) = 43702386