Least Common Multiple (LCM) of 36 and 184
The least common multiple (LCM) of 36 and 184 is 1656.
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 36 and 184?
First, calculate the GCD of 36 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 184 = 0 remainder 36 |
| 2 | 184 ÷ 36 = 5 remainder 4 |
| 3 | 36 ÷ 4 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 26 | 312 |
| 81 and 189 | 567 |
| 45 and 52 | 2340 |
| 140 and 159 | 22260 |
| 162 and 57 | 3078 |