Least Common Multiple (LCM) of 167 and 187
The least common multiple (LCM) of 167 and 187 is 31229.
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 187?
First, calculate the GCD of 167 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 187 = 0 remainder 167 |
| 2 | 187 ÷ 167 = 1 remainder 20 |
| 3 | 167 ÷ 20 = 8 remainder 7 |
| 4 | 20 ÷ 7 = 2 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 171 | 21717 |
| 82 and 169 | 13858 |
| 82 and 77 | 6314 |
| 49 and 34 | 1666 |
| 148 and 120 | 4440 |