Least Common Multiple (LCM) of 159 and 139
The least common multiple (LCM) of 159 and 139 is 22101.
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 159 and 139?
First, calculate the GCD of 159 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 139 = 1 remainder 20 |
| 2 | 139 ÷ 20 = 6 remainder 19 |
| 3 | 20 ÷ 19 = 1 remainder 1 |
| 4 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 129 | 14964 |
| 113 and 126 | 14238 |
| 62 and 148 | 4588 |
| 17 and 147 | 2499 |
| 130 and 19 | 2470 |