Least Common Multiple (LCM) of 122 and 141
The least common multiple (LCM) of 122 and 141 is 17202.
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 141?
First, calculate the GCD of 122 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 141 = 0 remainder 122 |
| 2 | 141 ÷ 122 = 1 remainder 19 |
| 3 | 122 ÷ 19 = 6 remainder 8 |
| 4 | 19 ÷ 8 = 2 remainder 3 |
| 5 | 8 ÷ 3 = 2 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 38 | 2090 |
| 145 and 121 | 17545 |
| 107 and 33 | 3531 |
| 83 and 139 | 11537 |
| 14 and 170 | 1190 |