What is the Least Common Multiple of 26300 and 26308?

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 26308 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 26308, than apply into the LCM equation.

GCF(26300,26308) = 4
LCM(26300,26308) = ( 26300 × 26308) / 4
LCM(26300,26308) = 691900400 / 4
LCM(26300,26308) = 172975100

Least Common Multiple (LCM) of 26300 and 26308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26300 and 26308. First we will calculate the prime factors of 26300 and 26308.

Prime Factorization of 26300

Prime Factorization of 26308

Now multiplying the highest exponent prime factors to calculate the LCM of 26300 and 26308.

LCM(26300,26308) = 2² × 5² × 263¹ × 6577¹
LCM(26300,26308) = 172975100