What is the Least Common Multiple of 26289 and 26300?

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 26289 and 26300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26289 and 26300, than apply into the LCM equation.

GCF(26289,26300) = 1
LCM(26289,26300) = ( 26289 × 26300) / 1
LCM(26289,26300) = 691400700 / 1
LCM(26289,26300) = 691400700

Least Common Multiple (LCM) of 26289 and 26300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26289 and 26300. First we will calculate the prime factors of 26289 and 26300.

Prime Factorization of 26289

Prime Factorization of 26300

Now multiplying the highest exponent prime factors to calculate the LCM of 26289 and 26300.

LCM(26289,26300) = 3² × 23¹ × 127¹ × 2² × 5² × 263¹
LCM(26289,26300) = 691400700