Least Common Multiple (LCM) of 134 and 167
The least common multiple (LCM) of 134 and 167 is 22378.
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 134 and 167?
First, calculate the GCD of 134 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 167 = 0 remainder 134 |
| 2 | 167 ÷ 134 = 1 remainder 33 |
| 3 | 134 ÷ 33 = 4 remainder 2 |
| 4 | 33 ÷ 2 = 16 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 19 | 3420 |
| 55 and 12 | 660 |
| 141 and 114 | 5358 |
| 48 and 144 | 144 |
| 109 and 14 | 1526 |