What is the Least Common Multiple of 26523 and 26541?

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 26523 and 26541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26523 and 26541, than apply into the LCM equation.

GCF(26523,26541) = 9
LCM(26523,26541) = ( 26523 × 26541) / 9
LCM(26523,26541) = 703946943 / 9
LCM(26523,26541) = 78216327

Least Common Multiple (LCM) of 26523 and 26541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26523 and 26541. First we will calculate the prime factors of 26523 and 26541.

Prime Factorization of 26523

Prime Factorization of 26541

Now multiplying the highest exponent prime factors to calculate the LCM of 26523 and 26541.

LCM(26523,26541) = 3³ × 7¹ × 421¹ × 983¹
LCM(26523,26541) = 78216327