Least Common Multiple (LCM) of 167 and 161
The least common multiple (LCM) of 167 and 161 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 167 and 161?
First, calculate the GCD of 167 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 161 = 1 remainder 6 |
| 2 | 161 ÷ 6 = 26 remainder 5 |
| 3 | 6 ÷ 5 = 1 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 199 | 7363 |
| 157 and 26 | 4082 |
| 194 and 146 | 14162 |
| 174 and 48 | 1392 |
| 160 and 200 | 800 |