GCF and LCM Calculator Logo

What is the Least Common Multiple of 23861 and 23869?

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 (LCM) of 23861 and 23869 is 569538209.

LCM(23861,23869) = 569538209

LCM Calculator and
and

Least Common Multiple of 23861 and 23869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23861 and 23869, than apply into the LCM equation.

GCF(23861,23869) = 1
LCM(23861,23869) = ( 23861 × 23869) / 1
LCM(23861,23869) = 569538209 / 1
LCM(23861,23869) = 569538209

Least Common Multiple (LCM) of 23861 and 23869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23861 and 23869. First we will calculate the prime factors of 23861 and 23869.

Prime Factorization of 23861

Prime factors of 23861 are 107, 223. Prime factorization of 23861 in exponential form is:

23861 = 1071 × 2231

Prime Factorization of 23869

Prime factors of 23869 are 23869. Prime factorization of 23869 in exponential form is:

23869 = 238691

Now multiplying the highest exponent prime factors to calculate the LCM of 23861 and 23869.

LCM(23861,23869) = 1071 × 2231 × 238691
LCM(23861,23869) = 569538209