Least Common Multiple (LCM) of 128 and 158
The least common multiple (LCM) of 128 and 158 is 10112.
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 128 and 158?
First, calculate the GCD of 128 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 158 = 0 remainder 128 |
| 2 | 158 ÷ 128 = 1 remainder 30 |
| 3 | 128 ÷ 30 = 4 remainder 8 |
| 4 | 30 ÷ 8 = 3 remainder 6 |
| 5 | 8 ÷ 6 = 1 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 200 | 600 |
| 126 and 118 | 7434 |
| 12 and 175 | 2100 |
| 139 and 13 | 1807 |
| 135 and 58 | 7830 |