What is the Least Common Multiple of 58140 and 58148?

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 58140 and 58148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58140 and 58148, than apply into the LCM equation.

GCF(58140,58148) = 4
LCM(58140,58148) = ( 58140 × 58148) / 4
LCM(58140,58148) = 3380724720 / 4
LCM(58140,58148) = 845181180

Least Common Multiple (LCM) of 58140 and 58148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58140 and 58148. First we will calculate the prime factors of 58140 and 58148.

Prime Factorization of 58140

Prime Factorization of 58148

Now multiplying the highest exponent prime factors to calculate the LCM of 58140 and 58148.

LCM(58140,58148) = 2² × 3² × 5¹ × 17¹ × 19¹ × 14537¹
LCM(58140,58148) = 845181180