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 |
|---|---|
| 162 and 21 | 1134 |
| 52 and 185 | 9620 |
| 60 and 111 | 2220 |
| 146 and 109 | 15914 |
| 190 and 64 | 6080 |