Least Common Multiple (LCM) of 144 and 158
The least common multiple (LCM) of 144 and 158 is 11376.
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 158?
First, calculate the GCD of 144 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 158 = 0 remainder 144 |
| 2 | 158 ÷ 144 = 1 remainder 14 |
| 3 | 144 ÷ 14 = 10 remainder 4 |
| 4 | 14 ÷ 4 = 3 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 100 | 900 |
| 171 and 155 | 26505 |
| 160 and 140 | 1120 |
| 36 and 149 | 5364 |
| 192 and 189 | 12096 |