What is the Least Common Multiple of 58050 and 58055?

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 58050 and 58055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58050 and 58055, than apply into the LCM equation.

GCF(58050,58055) = 5
LCM(58050,58055) = ( 58050 × 58055) / 5
LCM(58050,58055) = 3370092750 / 5
LCM(58050,58055) = 674018550

Least Common Multiple (LCM) of 58050 and 58055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58050 and 58055. First we will calculate the prime factors of 58050 and 58055.

Prime Factorization of 58050

Prime Factorization of 58055

Now multiplying the highest exponent prime factors to calculate the LCM of 58050 and 58055.

LCM(58050,58055) = 2¹ × 3³ × 5² × 43¹ × 17¹ × 683¹
LCM(58050,58055) = 674018550