Least Common Multiple (LCM) of 134 and 162
The least common multiple (LCM) of 134 and 162 is 10854.
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 162?
First, calculate the GCD of 134 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 162 = 0 remainder 134 |
| 2 | 162 ÷ 134 = 1 remainder 28 |
| 3 | 134 ÷ 28 = 4 remainder 22 |
| 4 | 28 ÷ 22 = 1 remainder 6 |
| 5 | 22 ÷ 6 = 3 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 173 | 21798 |
| 177 and 195 | 11505 |
| 197 and 74 | 14578 |
| 155 and 148 | 22940 |
| 178 and 34 | 3026 |