Least Common Multiple (LCM) of 40 and 184
The least common multiple (LCM) of 40 and 184 is 920.
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 184?
First, calculate the GCD of 40 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 40 ÷ 184 = 0 remainder 40 |
| 2 | 184 ÷ 40 = 4 remainder 24 |
| 3 | 40 ÷ 24 = 1 remainder 16 |
| 4 | 24 ÷ 16 = 1 remainder 8 |
| 5 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 198 | 4158 |
| 198 and 195 | 12870 |
| 196 and 77 | 2156 |
| 55 and 99 | 495 |
| 71 and 150 | 10650 |