What is the Least Common Multiple of 26239 and 26243?

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 26239 and 26243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26239 and 26243, than apply into the LCM equation.

GCF(26239,26243) = 1
LCM(26239,26243) = ( 26239 × 26243) / 1
LCM(26239,26243) = 688590077 / 1
LCM(26239,26243) = 688590077

Least Common Multiple (LCM) of 26239 and 26243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26239 and 26243. First we will calculate the prime factors of 26239 and 26243.

Prime Factorization of 26239

Prime Factorization of 26243

Now multiplying the highest exponent prime factors to calculate the LCM of 26239 and 26243.

LCM(26239,26243) = 19¹ × 1381¹ × 7¹ × 23¹ × 163¹
LCM(26239,26243) = 688590077