Least Common Multiple (LCM) of 136 and 167
The least common multiple (LCM) of 136 and 167 is 22712.
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 136 and 167?
First, calculate the GCD of 136 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 167 = 0 remainder 136 |
| 2 | 167 ÷ 136 = 1 remainder 31 |
| 3 | 136 ÷ 31 = 4 remainder 12 |
| 4 | 31 ÷ 12 = 2 remainder 7 |
| 5 | 12 ÷ 7 = 1 remainder 5 |
| 6 | 7 ÷ 5 = 1 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 50 | 4550 |
| 142 and 55 | 7810 |
| 109 and 70 | 7630 |
| 83 and 29 | 2407 |
| 100 and 147 | 14700 |