Least Common Multiple (LCM) of 162 and 186
The least common multiple (LCM) of 162 and 186 is 5022.
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 162 and 186?
First, calculate the GCD of 162 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 186 = 0 remainder 162 |
| 2 | 186 ÷ 162 = 1 remainder 24 |
| 3 | 162 ÷ 24 = 6 remainder 18 |
| 4 | 24 ÷ 18 = 1 remainder 6 |
| 5 | 18 ÷ 6 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 17 | 1105 |
| 144 and 74 | 5328 |
| 21 and 102 | 714 |
| 176 and 195 | 34320 |
| 179 and 114 | 20406 |