Least Common Multiple (LCM) of 163 and 139
The least common multiple (LCM) of 163 and 139 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 163 and 139?
First, calculate the GCD of 163 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 139 = 1 remainder 24 |
| 2 | 139 ÷ 24 = 5 remainder 19 |
| 3 | 24 ÷ 19 = 1 remainder 5 |
| 4 | 19 ÷ 5 = 3 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 177 | 2124 |
| 25 and 109 | 2725 |
| 175 and 130 | 4550 |
| 97 and 195 | 18915 |
| 102 and 101 | 10302 |