Least Common Multiple (LCM) of 117 and 161
The least common multiple (LCM) of 117 and 161 is 18837.
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 117 and 161?
First, calculate the GCD of 117 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 161 = 0 remainder 117 |
| 2 | 161 ÷ 117 = 1 remainder 44 |
| 3 | 117 ÷ 44 = 2 remainder 29 |
| 4 | 44 ÷ 29 = 1 remainder 15 |
| 5 | 29 ÷ 15 = 1 remainder 14 |
| 6 | 15 ÷ 14 = 1 remainder 1 |
| 7 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 105 | 13335 |
| 23 and 25 | 575 |
| 175 and 117 | 20475 |
| 54 and 150 | 1350 |
| 112 and 184 | 2576 |