What is the Least Common Multiple of 26538 and 26549?

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 26538 and 26549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26538 and 26549, than apply into the LCM equation.

GCF(26538,26549) = 1
LCM(26538,26549) = ( 26538 × 26549) / 1
LCM(26538,26549) = 704557362 / 1
LCM(26538,26549) = 704557362

Least Common Multiple (LCM) of 26538 and 26549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26538 and 26549. First we will calculate the prime factors of 26538 and 26549.

Prime Factorization of 26538

Prime Factorization of 26549

Now multiplying the highest exponent prime factors to calculate the LCM of 26538 and 26549.

LCM(26538,26549) = 2¹ × 3¹ × 4423¹ × 139¹ × 191¹
LCM(26538,26549) = 704557362