What is the Least Common Multiple of 26549 and 26566?

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 26549 and 26566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26549 and 26566, than apply into the LCM equation.

GCF(26549,26566) = 1
LCM(26549,26566) = ( 26549 × 26566) / 1
LCM(26549,26566) = 705300734 / 1
LCM(26549,26566) = 705300734

Least Common Multiple (LCM) of 26549 and 26566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26549 and 26566. First we will calculate the prime factors of 26549 and 26566.

Prime Factorization of 26549

Prime Factorization of 26566

Now multiplying the highest exponent prime factors to calculate the LCM of 26549 and 26566.

LCM(26549,26566) = 139¹ × 191¹ × 2¹ × 37¹ × 359¹
LCM(26549,26566) = 705300734