Least Common Multiple (LCM) of 167 and 121
The least common multiple (LCM) of 167 and 121 is 20207.
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 121?
First, calculate the GCD of 167 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 121 = 1 remainder 46 |
| 2 | 121 ÷ 46 = 2 remainder 29 |
| 3 | 46 ÷ 29 = 1 remainder 17 |
| 4 | 29 ÷ 17 = 1 remainder 12 |
| 5 | 17 ÷ 12 = 1 remainder 5 |
| 6 | 12 ÷ 5 = 2 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 50 | 1950 |
| 166 and 166 | 166 |
| 103 and 179 | 18437 |
| 49 and 155 | 7595 |
| 170 and 121 | 20570 |