Least Common Multiple (LCM) of 40 and 134
The least common multiple (LCM) of 40 and 134 is 2680.
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 40 and 134?
First, calculate the GCD of 40 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 40 ÷ 134 = 0 remainder 40 |
| 2 | 134 ÷ 40 = 3 remainder 14 |
| 3 | 40 ÷ 14 = 2 remainder 12 |
| 4 | 14 ÷ 12 = 1 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 192 | 37056 |
| 132 and 129 | 5676 |
| 57 and 55 | 3135 |
| 92 and 144 | 3312 |
| 178 and 30 | 2670 |