Least Common Multiple (LCM) of 167 and 184
The least common multiple (LCM) of 167 and 184 is 30728.
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 167 and 184?
First, calculate the GCD of 167 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 184 = 0 remainder 167 |
| 2 | 184 ÷ 167 = 1 remainder 17 |
| 3 | 167 ÷ 17 = 9 remainder 14 |
| 4 | 17 ÷ 14 = 1 remainder 3 |
| 5 | 14 ÷ 3 = 4 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 95 | 570 |
| 53 and 178 | 9434 |
| 184 and 161 | 1288 |
| 165 and 127 | 20955 |
| 76 and 198 | 7524 |