Least Common Multiple (LCM) of 125 and 159
The least common multiple (LCM) of 125 and 159 is 19875.
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 125 and 159?
First, calculate the GCD of 125 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 159 = 0 remainder 125 |
| 2 | 159 ÷ 125 = 1 remainder 34 |
| 3 | 125 ÷ 34 = 3 remainder 23 |
| 4 | 34 ÷ 23 = 1 remainder 11 |
| 5 | 23 ÷ 11 = 2 remainder 1 |
| 6 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 101 | 15352 |
| 159 and 78 | 4134 |
| 137 and 18 | 2466 |
| 132 and 163 | 21516 |
| 83 and 112 | 9296 |