What is the Least Common Multiple of 26689 and 26700?

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 26689 and 26700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26689 and 26700, than apply into the LCM equation.

GCF(26689,26700) = 1
LCM(26689,26700) = ( 26689 × 26700) / 1
LCM(26689,26700) = 712596300 / 1
LCM(26689,26700) = 712596300

Least Common Multiple (LCM) of 26689 and 26700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26689 and 26700. First we will calculate the prime factors of 26689 and 26700.

Prime Factorization of 26689

Prime Factorization of 26700

Now multiplying the highest exponent prime factors to calculate the LCM of 26689 and 26700.

LCM(26689,26700) = 13¹ × 2053¹ × 2² × 3¹ × 5² × 89¹
LCM(26689,26700) = 712596300