What is the Least Common Multiple of 26900 and 26908?

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 26908 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 26908, than apply into the LCM equation.

GCF(26900,26908) = 4
LCM(26900,26908) = ( 26900 × 26908) / 4
LCM(26900,26908) = 723825200 / 4
LCM(26900,26908) = 180956300

Least Common Multiple (LCM) of 26900 and 26908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26900 and 26908. First we will calculate the prime factors of 26900 and 26908.

Prime Factorization of 26900

Prime Factorization of 26908

Now multiplying the highest exponent prime factors to calculate the LCM of 26900 and 26908.

LCM(26900,26908) = 2² × 5² × 269¹ × 7¹ × 31²
LCM(26900,26908) = 180956300