Least Common Multiple (LCM) of 162 and 141
The least common multiple (LCM) of 162 and 141 is 7614.
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 141?
First, calculate the GCD of 162 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 141 = 1 remainder 21 |
| 2 | 141 ÷ 21 = 6 remainder 15 |
| 3 | 21 ÷ 15 = 1 remainder 6 |
| 4 | 15 ÷ 6 = 2 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 170 | 15980 |
| 192 and 199 | 38208 |
| 49 and 106 | 5194 |
| 14 and 186 | 1302 |
| 107 and 114 | 12198 |