What is the Least Common Multiple of 26475 and 26484?

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 26475 and 26484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26475 and 26484, than apply into the LCM equation.

GCF(26475,26484) = 3
LCM(26475,26484) = ( 26475 × 26484) / 3
LCM(26475,26484) = 701163900 / 3
LCM(26475,26484) = 233721300

Least Common Multiple (LCM) of 26475 and 26484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26475 and 26484. First we will calculate the prime factors of 26475 and 26484.

Prime Factorization of 26475

Prime Factorization of 26484

Now multiplying the highest exponent prime factors to calculate the LCM of 26475 and 26484.

LCM(26475,26484) = 3¹ × 5² × 353¹ × 2² × 2207¹
LCM(26475,26484) = 233721300