Least Common Multiple (LCM) of 167 and 14
The least common multiple (LCM) of 167 and 14 is 2338.
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 14?
First, calculate the GCD of 167 and 14 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 14 = 11 remainder 13 |
| 2 | 14 ÷ 13 = 1 remainder 1 |
| 3 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 62 | 9982 |
| 182 and 157 | 28574 |
| 164 and 109 | 17876 |
| 121 and 60 | 7260 |
| 198 and 110 | 990 |