Least Common Multiple (LCM) of 16 and 40
The least common multiple (LCM) of 16 and 40 is 80.
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 16 and 40?
First, calculate the GCD of 16 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 16 ÷ 40 = 0 remainder 16 |
| 2 | 40 ÷ 16 = 2 remainder 8 |
| 3 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 51 | 2550 |
| 127 and 127 | 127 |
| 123 and 198 | 8118 |
| 15 and 61 | 915 |
| 117 and 190 | 22230 |