What is the Least Common Multiple of 26272 and 26292?

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 26292 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 26292, than apply into the LCM equation.

GCF(26272,26292) = 4
LCM(26272,26292) = ( 26272 × 26292) / 4
LCM(26272,26292) = 690743424 / 4
LCM(26272,26292) = 172685856

Least Common Multiple (LCM) of 26272 and 26292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26272 and 26292. First we will calculate the prime factors of 26272 and 26292.

Prime Factorization of 26272

Prime Factorization of 26292

Now multiplying the highest exponent prime factors to calculate the LCM of 26272 and 26292.

LCM(26272,26292) = 2⁵ × 821¹ × 3¹ × 7¹ × 313¹
LCM(26272,26292) = 172685856