Least Common Multiple (LCM) of 139 and 159
The least common multiple (LCM) of 139 and 159 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 139 and 159?
First, calculate the GCD of 139 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 159 = 0 remainder 139 |
| 2 | 159 ÷ 139 = 1 remainder 20 |
| 3 | 139 ÷ 20 = 6 remainder 19 |
| 4 | 20 ÷ 19 = 1 remainder 1 |
| 5 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 114 | 13110 |
| 192 and 103 | 19776 |
| 194 and 100 | 9700 |
| 11 and 165 | 165 |
| 188 and 100 | 4700 |