Least Common Multiple (LCM) of 122 and 139
The least common multiple (LCM) of 122 and 139 is 16958.
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 122 and 139?
First, calculate the GCD of 122 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 139 = 0 remainder 122 |
| 2 | 139 ÷ 122 = 1 remainder 17 |
| 3 | 122 ÷ 17 = 7 remainder 3 |
| 4 | 17 ÷ 3 = 5 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 107 | 12840 |
| 196 and 170 | 16660 |
| 17 and 129 | 2193 |
| 48 and 134 | 3216 |
| 17 and 148 | 2516 |