What is the Least Common Multiple of 26592 and 26607?

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 26592 and 26607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26592 and 26607, than apply into the LCM equation.

GCF(26592,26607) = 3
LCM(26592,26607) = ( 26592 × 26607) / 3
LCM(26592,26607) = 707533344 / 3
LCM(26592,26607) = 235844448

Least Common Multiple (LCM) of 26592 and 26607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26592 and 26607. First we will calculate the prime factors of 26592 and 26607.

Prime Factorization of 26592

Prime Factorization of 26607

Now multiplying the highest exponent prime factors to calculate the LCM of 26592 and 26607.

LCM(26592,26607) = 2⁵ × 3¹ × 277¹ × 7² × 181¹
LCM(26592,26607) = 235844448