What is the Least Common Multiple of 26300 and 26305?

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 26300 and 26305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26300 and 26305, than apply into the LCM equation.

GCF(26300,26305) = 5
LCM(26300,26305) = ( 26300 × 26305) / 5
LCM(26300,26305) = 691821500 / 5
LCM(26300,26305) = 138364300

Least Common Multiple (LCM) of 26300 and 26305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26300 and 26305. First we will calculate the prime factors of 26300 and 26305.

Prime Factorization of 26300

Prime Factorization of 26305

Now multiplying the highest exponent prime factors to calculate the LCM of 26300 and 26305.

LCM(26300,26305) = 2² × 5² × 263¹ × 5261¹
LCM(26300,26305) = 138364300