What is the Least Common Multiple of 23829 and 23847?

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 23847 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 23847, than apply into the LCM equation.

GCF(23829,23847) = 3
LCM(23829,23847) = ( 23829 × 23847) / 3
LCM(23829,23847) = 568250163 / 3
LCM(23829,23847) = 189416721

Least Common Multiple (LCM) of 23829 and 23847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23829 and 23847. First we will calculate the prime factors of 23829 and 23847.

Prime Factorization of 23829

Prime Factorization of 23847

Now multiplying the highest exponent prime factors to calculate the LCM of 23829 and 23847.

LCM(23829,23847) = 3¹ × 13² × 47¹ × 7949¹
LCM(23829,23847) = 189416721