Least Common Multiple (LCM) of 186 and 158
The least common multiple (LCM) of 186 and 158 is 14694.
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 186 and 158?
First, calculate the GCD of 186 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 158 = 1 remainder 28 |
| 2 | 158 ÷ 28 = 5 remainder 18 |
| 3 | 28 ÷ 18 = 1 remainder 10 |
| 4 | 18 ÷ 10 = 1 remainder 8 |
| 5 | 10 ÷ 8 = 1 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 83 | 11454 |
| 17 and 42 | 714 |
| 106 and 108 | 5724 |
| 53 and 174 | 9222 |
| 159 and 171 | 9063 |