What is the Least Common Multiple of 26553 and 26573?

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 26553 and 26573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26553 and 26573, than apply into the LCM equation.

GCF(26553,26573) = 1
LCM(26553,26573) = ( 26553 × 26573) / 1
LCM(26553,26573) = 705592869 / 1
LCM(26553,26573) = 705592869

Least Common Multiple (LCM) of 26553 and 26573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26553 and 26573. First we will calculate the prime factors of 26553 and 26573.

Prime Factorization of 26553

Prime Factorization of 26573

Now multiplying the highest exponent prime factors to calculate the LCM of 26553 and 26573.

LCM(26553,26573) = 3¹ × 53¹ × 167¹ × 26573¹
LCM(26553,26573) = 705592869