Least Common Multiple (LCM) of 144 and 167
The least common multiple (LCM) of 144 and 167 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 144 and 167?
First, calculate the GCD of 144 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 167 = 0 remainder 144 |
| 2 | 167 ÷ 144 = 1 remainder 23 |
| 3 | 144 ÷ 23 = 6 remainder 6 |
| 4 | 23 ÷ 6 = 3 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 140 | 980 |
| 195 and 131 | 25545 |
| 99 and 31 | 3069 |
| 188 and 148 | 6956 |
| 101 and 41 | 4141 |