What is the Least Common Multiple of 26040 and 26045?

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 26040 and 26045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26040 and 26045, than apply into the LCM equation.

GCF(26040,26045) = 5
LCM(26040,26045) = ( 26040 × 26045) / 5
LCM(26040,26045) = 678211800 / 5
LCM(26040,26045) = 135642360

Least Common Multiple (LCM) of 26040 and 26045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26040 and 26045. First we will calculate the prime factors of 26040 and 26045.

Prime Factorization of 26040

Prime Factorization of 26045

Now multiplying the highest exponent prime factors to calculate the LCM of 26040 and 26045.

LCM(26040,26045) = 2³ × 3¹ × 5¹ × 7¹ × 31¹ × 5209¹
LCM(26040,26045) = 135642360