Least Common Multiple (LCM) of 50 and 40
The least common multiple (LCM) of 50 and 40 is 200.
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 50 and 40?
First, calculate the GCD of 50 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 40 = 1 remainder 10 |
| 2 | 40 ÷ 10 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 97 | 15520 |
| 26 and 54 | 702 |
| 160 and 194 | 15520 |
| 146 and 63 | 9198 |
| 114 and 96 | 1824 |