Least Common Multiple (LCM) of 155 and 184
The least common multiple (LCM) of 155 and 184 is 28520.
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 155 and 184?
First, calculate the GCD of 155 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 184 = 0 remainder 155 |
| 2 | 184 ÷ 155 = 1 remainder 29 |
| 3 | 155 ÷ 29 = 5 remainder 10 |
| 4 | 29 ÷ 10 = 2 remainder 9 |
| 5 | 10 ÷ 9 = 1 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 147 | 588 |
| 117 and 84 | 3276 |
| 37 and 73 | 2701 |
| 180 and 142 | 12780 |
| 125 and 115 | 2875 |