What is the Least Common Multiple of 26050 and 26065?

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 26065 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 26065, than apply into the LCM equation.

GCF(26050,26065) = 5
LCM(26050,26065) = ( 26050 × 26065) / 5
LCM(26050,26065) = 678993250 / 5
LCM(26050,26065) = 135798650

Least Common Multiple (LCM) of 26050 and 26065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26050 and 26065. First we will calculate the prime factors of 26050 and 26065.

Prime Factorization of 26050

Prime Factorization of 26065

Now multiplying the highest exponent prime factors to calculate the LCM of 26050 and 26065.

LCM(26050,26065) = 2¹ × 5² × 521¹ × 13¹ × 401¹
LCM(26050,26065) = 135798650