What is the Least Common Multiple of 26080 and 26085?

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 26080 and 26085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26080 and 26085, than apply into the LCM equation.

GCF(26080,26085) = 5
LCM(26080,26085) = ( 26080 × 26085) / 5
LCM(26080,26085) = 680296800 / 5
LCM(26080,26085) = 136059360

Least Common Multiple (LCM) of 26080 and 26085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26080 and 26085. First we will calculate the prime factors of 26080 and 26085.

Prime Factorization of 26080

Prime Factorization of 26085

Now multiplying the highest exponent prime factors to calculate the LCM of 26080 and 26085.

LCM(26080,26085) = 2⁵ × 5¹ × 163¹ × 3¹ × 37¹ × 47¹
LCM(26080,26085) = 136059360