Least Common Multiple (LCM) of 40 and 136
The least common multiple (LCM) of 40 and 136 is 680.
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 136?
First, calculate the GCD of 40 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 40 ÷ 136 = 0 remainder 40 |
| 2 | 136 ÷ 40 = 3 remainder 16 |
| 3 | 40 ÷ 16 = 2 remainder 8 |
| 4 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 83 | 10458 |
| 70 and 136 | 4760 |
| 69 and 200 | 13800 |
| 102 and 197 | 20094 |
| 142 and 197 | 27974 |