Least Common Multiple (LCM) of 158 and 125
The least common multiple (LCM) of 158 and 125 is 19750.
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 158 and 125?
First, calculate the GCD of 158 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 125 = 1 remainder 33 |
| 2 | 125 ÷ 33 = 3 remainder 26 |
| 3 | 33 ÷ 26 = 1 remainder 7 |
| 4 | 26 ÷ 7 = 3 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 58 and 188 | 5452 |
| 81 and 31 | 2511 |
| 64 and 164 | 2624 |
| 47 and 35 | 1645 |
| 101 and 80 | 8080 |