What is the Least Common Multiple of 26233 and 26239?

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 26233 and 26239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26233 and 26239, than apply into the LCM equation.

GCF(26233,26239) = 1
LCM(26233,26239) = ( 26233 × 26239) / 1
LCM(26233,26239) = 688327687 / 1
LCM(26233,26239) = 688327687

Least Common Multiple (LCM) of 26233 and 26239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26233 and 26239. First we will calculate the prime factors of 26233 and 26239.

Prime Factorization of 26233

Prime Factorization of 26239

Now multiplying the highest exponent prime factors to calculate the LCM of 26233 and 26239.

LCM(26233,26239) = 37¹ × 709¹ × 19¹ × 1381¹
LCM(26233,26239) = 688327687