What is the Least Common Multiple of 26050 and 26055?

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 26050 and 26055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26050 and 26055, than apply into the LCM equation.

GCF(26050,26055) = 5
LCM(26050,26055) = ( 26050 × 26055) / 5
LCM(26050,26055) = 678732750 / 5
LCM(26050,26055) = 135746550

Least Common Multiple (LCM) of 26050 and 26055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26050 and 26055. First we will calculate the prime factors of 26050 and 26055.

Prime Factorization of 26050

Prime Factorization of 26055

Now multiplying the highest exponent prime factors to calculate the LCM of 26050 and 26055.

LCM(26050,26055) = 2¹ × 5² × 521¹ × 3³ × 193¹
LCM(26050,26055) = 135746550