Least Common Multiple (LCM) of 149 and 167
The least common multiple (LCM) of 149 and 167 is 24883.
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 149 and 167?
First, calculate the GCD of 149 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 167 = 0 remainder 149 |
| 2 | 167 ÷ 149 = 1 remainder 18 |
| 3 | 149 ÷ 18 = 8 remainder 5 |
| 4 | 18 ÷ 5 = 3 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 198 | 19404 |
| 197 and 119 | 23443 |
| 152 and 42 | 3192 |
| 60 and 138 | 1380 |
| 81 and 15 | 405 |