Least Common Multiple (LCM) of 167 and 131
The least common multiple (LCM) of 167 and 131 is 21877.
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 131?
First, calculate the GCD of 167 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 131 = 1 remainder 36 |
| 2 | 131 ÷ 36 = 3 remainder 23 |
| 3 | 36 ÷ 23 = 1 remainder 13 |
| 4 | 23 ÷ 13 = 1 remainder 10 |
| 5 | 13 ÷ 10 = 1 remainder 3 |
| 6 | 10 ÷ 3 = 3 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 65 | 7995 |
| 140 and 172 | 6020 |
| 167 and 174 | 29058 |
| 37 and 83 | 3071 |
| 190 and 63 | 11970 |