Least Common Multiple (LCM) of 167 and 71
The least common multiple (LCM) of 167 and 71 is 11857.
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 71?
First, calculate the GCD of 167 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 71 = 2 remainder 25 |
| 2 | 71 ÷ 25 = 2 remainder 21 |
| 3 | 25 ÷ 21 = 1 remainder 4 |
| 4 | 21 ÷ 4 = 5 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 180 | 180 |
| 55 and 178 | 9790 |
| 179 and 37 | 6623 |
| 25 and 157 | 3925 |
| 182 and 46 | 4186 |