Least Common Multiple (LCM) of 168 and 186
The least common multiple (LCM) of 168 and 186 is 5208.
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 168 and 186?
First, calculate the GCD of 168 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 186 = 0 remainder 168 |
| 2 | 186 ÷ 168 = 1 remainder 18 |
| 3 | 168 ÷ 18 = 9 remainder 6 |
| 4 | 18 ÷ 6 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 60 | 4260 |
| 186 and 111 | 6882 |
| 109 and 167 | 18203 |
| 140 and 12 | 420 |
| 90 and 125 | 2250 |