What is the Least Common Multiple of 26909 and 26923?

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 26909 and 26923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26909 and 26923, than apply into the LCM equation.

GCF(26909,26923) = 1
LCM(26909,26923) = ( 26909 × 26923) / 1
LCM(26909,26923) = 724471007 / 1
LCM(26909,26923) = 724471007

Least Common Multiple (LCM) of 26909 and 26923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26909 and 26923. First we will calculate the prime factors of 26909 and 26923.

Prime Factorization of 26909

Prime Factorization of 26923

Now multiplying the highest exponent prime factors to calculate the LCM of 26909 and 26923.

LCM(26909,26923) = 71¹ × 379¹ × 13¹ × 19¹ × 109¹
LCM(26909,26923) = 724471007