Least Common Multiple (LCM) of 132 and 161
The least common multiple (LCM) of 132 and 161 is 21252.
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 132 and 161?
First, calculate the GCD of 132 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 161 = 0 remainder 132 |
| 2 | 161 ÷ 132 = 1 remainder 29 |
| 3 | 132 ÷ 29 = 4 remainder 16 |
| 4 | 29 ÷ 16 = 1 remainder 13 |
| 5 | 16 ÷ 13 = 1 remainder 3 |
| 6 | 13 ÷ 3 = 4 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 155 | 23405 |
| 28 and 43 | 1204 |
| 187 and 11 | 187 |
| 184 and 188 | 8648 |
| 134 and 77 | 10318 |