What is the Least Common Multiple of 26015 and 26035?

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 26015 and 26035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26015 and 26035, than apply into the LCM equation.

GCF(26015,26035) = 5
LCM(26015,26035) = ( 26015 × 26035) / 5
LCM(26015,26035) = 677300525 / 5
LCM(26015,26035) = 135460105

Least Common Multiple (LCM) of 26015 and 26035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26015 and 26035. First we will calculate the prime factors of 26015 and 26035.

Prime Factorization of 26015

Prime Factorization of 26035

Now multiplying the highest exponent prime factors to calculate the LCM of 26015 and 26035.

LCM(26015,26035) = 5¹ × 11² × 43¹ × 41¹ × 127¹
LCM(26015,26035) = 135460105