What is the Least Common Multiple of 26272 and 26284?

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 26272 and 26284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26272 and 26284, than apply into the LCM equation.

GCF(26272,26284) = 4
LCM(26272,26284) = ( 26272 × 26284) / 4
LCM(26272,26284) = 690533248 / 4
LCM(26272,26284) = 172633312

Least Common Multiple (LCM) of 26272 and 26284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26272 and 26284. First we will calculate the prime factors of 26272 and 26284.

Prime Factorization of 26272

Prime Factorization of 26284

Now multiplying the highest exponent prime factors to calculate the LCM of 26272 and 26284.

LCM(26272,26284) = 2⁵ × 821¹ × 6571¹
LCM(26272,26284) = 172633312