What is the Least Common Multiple of 26523 and 26538?

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 26538 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 26538, than apply into the LCM equation.

GCF(26523,26538) = 3
LCM(26523,26538) = ( 26523 × 26538) / 3
LCM(26523,26538) = 703867374 / 3
LCM(26523,26538) = 234622458

Least Common Multiple (LCM) of 26523 and 26538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26523 and 26538. First we will calculate the prime factors of 26523 and 26538.

Prime Factorization of 26523

Prime Factorization of 26538

Now multiplying the highest exponent prime factors to calculate the LCM of 26523 and 26538.

LCM(26523,26538) = 3² × 7¹ × 421¹ × 2¹ × 4423¹
LCM(26523,26538) = 234622458