What is the Least Common Multiple of 26035 and 26040?

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 26035 and 26040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26035 and 26040, than apply into the LCM equation.

GCF(26035,26040) = 5
LCM(26035,26040) = ( 26035 × 26040) / 5
LCM(26035,26040) = 677951400 / 5
LCM(26035,26040) = 135590280

Least Common Multiple (LCM) of 26035 and 26040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26035 and 26040. First we will calculate the prime factors of 26035 and 26040.

Prime Factorization of 26035

Prime Factorization of 26040

Now multiplying the highest exponent prime factors to calculate the LCM of 26035 and 26040.

LCM(26035,26040) = 5¹ × 41¹ × 127¹ × 2³ × 3¹ × 7¹ × 31¹
LCM(26035,26040) = 135590280