Least Common Multiple (LCM) of 139 and 163
The least common multiple (LCM) of 139 and 163 is 22657.
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 163?
First, calculate the GCD of 139 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 163 = 0 remainder 139 |
| 2 | 163 ÷ 139 = 1 remainder 24 |
| 3 | 139 ÷ 24 = 5 remainder 19 |
| 4 | 24 ÷ 19 = 1 remainder 5 |
| 5 | 19 ÷ 5 = 3 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 48 | 1776 |
| 79 and 55 | 4345 |
| 138 and 85 | 11730 |
| 133 and 38 | 266 |
| 114 and 17 | 1938 |