Least Common Multiple (LCM) of 134 and 108
The least common multiple (LCM) of 134 and 108 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 134 and 108?
First, calculate the GCD of 134 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 108 = 1 remainder 26 |
| 2 | 108 ÷ 26 = 4 remainder 4 |
| 3 | 26 ÷ 4 = 6 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 109 | 14715 |
| 21 and 46 | 966 |
| 172 and 35 | 6020 |
| 110 and 102 | 5610 |
| 136 and 144 | 2448 |