Least Common Multiple (LCM) of 167 and 144
The least common multiple (LCM) of 167 and 144 is 24048.
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 144?
First, calculate the GCD of 167 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 144 = 1 remainder 23 |
| 2 | 144 ÷ 23 = 6 remainder 6 |
| 3 | 23 ÷ 6 = 3 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 50 | 9850 |
| 23 and 112 | 2576 |
| 172 and 165 | 28380 |
| 36 and 39 | 468 |
| 144 and 61 | 8784 |