What is the Least Common Multiple of 26589 and 26608?

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 26589 and 26608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26589 and 26608, than apply into the LCM equation.

GCF(26589,26608) = 1
LCM(26589,26608) = ( 26589 × 26608) / 1
LCM(26589,26608) = 707480112 / 1
LCM(26589,26608) = 707480112

Least Common Multiple (LCM) of 26589 and 26608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26589 and 26608. First we will calculate the prime factors of 26589 and 26608.

Prime Factorization of 26589

Prime Factorization of 26608

Now multiplying the highest exponent prime factors to calculate the LCM of 26589 and 26608.

LCM(26589,26608) = 3¹ × 8863¹ × 2⁴ × 1663¹
LCM(26589,26608) = 707480112