Least Common Multiple (LCM) of 162 and 181
The least common multiple (LCM) of 162 and 181 is 29322.
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 181?
First, calculate the GCD of 162 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 181 = 0 remainder 162 |
| 2 | 181 ÷ 162 = 1 remainder 19 |
| 3 | 162 ÷ 19 = 8 remainder 10 |
| 4 | 19 ÷ 10 = 1 remainder 9 |
| 5 | 10 ÷ 9 = 1 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 50 | 100 |
| 14 and 29 | 406 |
| 179 and 37 | 6623 |
| 84 and 132 | 924 |
| 173 and 176 | 30448 |