What is the Least Common Multiple of 26305 and 26313?

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 26313 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 26313, than apply into the LCM equation.

GCF(26305,26313) = 1
LCM(26305,26313) = ( 26305 × 26313) / 1
LCM(26305,26313) = 692163465 / 1
LCM(26305,26313) = 692163465

Least Common Multiple (LCM) of 26305 and 26313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26305 and 26313. First we will calculate the prime factors of 26305 and 26313.

Prime Factorization of 26305

Prime Factorization of 26313

Now multiplying the highest exponent prime factors to calculate the LCM of 26305 and 26313.

LCM(26305,26313) = 5¹ × 5261¹ × 3¹ × 7² × 179¹
LCM(26305,26313) = 692163465