Least Common Multiple (LCM) of 108 and 134
The least common multiple (LCM) of 108 and 134 is 7236.
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 108 and 134?
First, calculate the GCD of 108 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 134 = 0 remainder 108 |
| 2 | 134 ÷ 108 = 1 remainder 26 |
| 3 | 108 ÷ 26 = 4 remainder 4 |
| 4 | 26 ÷ 4 = 6 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 13 | 2522 |
| 85 and 61 | 5185 |
| 34 and 168 | 2856 |
| 58 and 81 | 4698 |
| 31 and 174 | 5394 |