What is the Least Common Multiple of 26900 and 26905?

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 26900 and 26905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26900 and 26905, than apply into the LCM equation.

GCF(26900,26905) = 5
LCM(26900,26905) = ( 26900 × 26905) / 5
LCM(26900,26905) = 723744500 / 5
LCM(26900,26905) = 144748900

Least Common Multiple (LCM) of 26900 and 26905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26900 and 26905. First we will calculate the prime factors of 26900 and 26905.

Prime Factorization of 26900

Prime Factorization of 26905

Now multiplying the highest exponent prime factors to calculate the LCM of 26900 and 26905.

LCM(26900,26905) = 2² × 5² × 269¹ × 5381¹
LCM(26900,26905) = 144748900