Least Common Multiple (LCM) of 24 and 158
The least common multiple (LCM) of 24 and 158 is 1896.
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 24 and 158?
First, calculate the GCD of 24 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 158 = 0 remainder 24 |
| 2 | 158 ÷ 24 = 6 remainder 14 |
| 3 | 24 ÷ 14 = 1 remainder 10 |
| 4 | 14 ÷ 10 = 1 remainder 4 |
| 5 | 10 ÷ 4 = 2 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 181 | 19005 |
| 141 and 25 | 3525 |
| 138 and 100 | 6900 |
| 61 and 65 | 3965 |
| 85 and 161 | 13685 |