What is the Least Common Multiple of 26592 and 26612?

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 26612 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 26612, than apply into the LCM equation.

GCF(26592,26612) = 4
LCM(26592,26612) = ( 26592 × 26612) / 4
LCM(26592,26612) = 707666304 / 4
LCM(26592,26612) = 176916576

Least Common Multiple (LCM) of 26592 and 26612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26592 and 26612. First we will calculate the prime factors of 26592 and 26612.

Prime Factorization of 26592

Prime Factorization of 26612

Now multiplying the highest exponent prime factors to calculate the LCM of 26592 and 26612.

LCM(26592,26612) = 2⁵ × 3¹ × 277¹ × 6653¹
LCM(26592,26612) = 176916576