What is the Least Common Multiple of 26160 and 26165?

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 26160 and 26165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26160 and 26165, than apply into the LCM equation.

GCF(26160,26165) = 5
LCM(26160,26165) = ( 26160 × 26165) / 5
LCM(26160,26165) = 684476400 / 5
LCM(26160,26165) = 136895280

Least Common Multiple (LCM) of 26160 and 26165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26160 and 26165. First we will calculate the prime factors of 26160 and 26165.

Prime Factorization of 26160

Prime Factorization of 26165

Now multiplying the highest exponent prime factors to calculate the LCM of 26160 and 26165.

LCM(26160,26165) = 2⁴ × 3¹ × 5¹ × 109¹ × 5233¹
LCM(26160,26165) = 136895280