Least Common Multiple (LCM) of 58 and 186
The least common multiple (LCM) of 58 and 186 is 5394.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 58 and 186?
First, calculate the GCD of 58 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 186 = 0 remainder 58 |
| 2 | 186 ÷ 58 = 3 remainder 12 |
| 3 | 58 ÷ 12 = 4 remainder 10 |
| 4 | 12 ÷ 10 = 1 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 84 | 924 |
| 56 and 31 | 1736 |
| 147 and 145 | 21315 |
| 71 and 184 | 13064 |
| 151 and 138 | 20838 |