Least Common Multiple (LCM) of 161 and 117
The least common multiple (LCM) of 161 and 117 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 161 and 117?
First, calculate the GCD of 161 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 117 = 1 remainder 44 |
| 2 | 117 ÷ 44 = 2 remainder 29 |
| 3 | 44 ÷ 29 = 1 remainder 15 |
| 4 | 29 ÷ 15 = 1 remainder 14 |
| 5 | 15 ÷ 14 = 1 remainder 1 |
| 6 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 70 | 13090 |
| 180 and 10 | 180 |
| 142 and 73 | 10366 |
| 198 and 20 | 1980 |
| 145 and 116 | 580 |