Least Common Multiple (LCM) of 161 and 67
The least common multiple (LCM) of 161 and 67 is 10787.
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 67?
First, calculate the GCD of 161 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 67 = 2 remainder 27 |
| 2 | 67 ÷ 27 = 2 remainder 13 |
| 3 | 27 ÷ 13 = 2 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 164 | 31980 |
| 198 and 87 | 5742 |
| 189 and 149 | 28161 |
| 149 and 139 | 20711 |
| 144 and 60 | 720 |