Least Common Multiple (LCM) of 40 and 10
The least common multiple (LCM) of 40 and 10 is 40.
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 10?
First, calculate the GCD of 40 and 10 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 40 ÷ 10 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 131 | 18078 |
| 149 and 12 | 1788 |
| 164 and 81 | 13284 |
| 197 and 77 | 15169 |
| 57 and 158 | 9006 |