Least Common Multiple (LCM) of 161 and 167
The least common multiple (LCM) of 161 and 167 is 26887.
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 167?
First, calculate the GCD of 161 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 167 = 0 remainder 161 |
| 2 | 167 ÷ 161 = 1 remainder 6 |
| 3 | 161 ÷ 6 = 26 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 69 | 4002 |
| 20 and 89 | 1780 |
| 65 and 52 | 260 |
| 24 and 47 | 1128 |
| 161 and 61 | 9821 |