Least Common Multiple (LCM) of 139 and 123
The least common multiple (LCM) of 139 and 123 is 17097.
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 123?
First, calculate the GCD of 139 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 123 = 1 remainder 16 |
| 2 | 123 ÷ 16 = 7 remainder 11 |
| 3 | 16 ÷ 11 = 1 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 60 | 2220 |
| 180 and 48 | 720 |
| 189 and 177 | 11151 |
| 79 and 55 | 4345 |
| 199 and 96 | 19104 |