What is the Least Common Multiple of 26542 and 26561?

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 26542 and 26561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26542 and 26561, than apply into the LCM equation.

GCF(26542,26561) = 1
LCM(26542,26561) = ( 26542 × 26561) / 1
LCM(26542,26561) = 704982062 / 1
LCM(26542,26561) = 704982062

Least Common Multiple (LCM) of 26542 and 26561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26542 and 26561. First we will calculate the prime factors of 26542 and 26561.

Prime Factorization of 26542

Prime Factorization of 26561

Now multiplying the highest exponent prime factors to calculate the LCM of 26542 and 26561.

LCM(26542,26561) = 2¹ × 23¹ × 577¹ × 26561¹
LCM(26542,26561) = 704982062