What is the Least Common Multiple of 26305 and 26312?

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 26305 and 26312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26305 and 26312, than apply into the LCM equation.

GCF(26305,26312) = 1
LCM(26305,26312) = ( 26305 × 26312) / 1
LCM(26305,26312) = 692137160 / 1
LCM(26305,26312) = 692137160

Least Common Multiple (LCM) of 26305 and 26312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26305 and 26312. First we will calculate the prime factors of 26305 and 26312.

Prime Factorization of 26305

Prime Factorization of 26312

Now multiplying the highest exponent prime factors to calculate the LCM of 26305 and 26312.

LCM(26305,26312) = 5¹ × 5261¹ × 2³ × 11¹ × 13¹ × 23¹
LCM(26305,26312) = 692137160