What is the Least Common Multiple of 26269 and 26279?

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 26269 and 26279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26269 and 26279, than apply into the LCM equation.

GCF(26269,26279) = 1
LCM(26269,26279) = ( 26269 × 26279) / 1
LCM(26269,26279) = 690323051 / 1
LCM(26269,26279) = 690323051

Least Common Multiple (LCM) of 26269 and 26279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26269 and 26279. First we will calculate the prime factors of 26269 and 26279.

Prime Factorization of 26269

Prime Factorization of 26279

Now multiplying the highest exponent prime factors to calculate the LCM of 26269 and 26279.

LCM(26269,26279) = 109¹ × 241¹ × 11¹ × 2389¹
LCM(26269,26279) = 690323051