Least Common Multiple (LCM) of 140 and 122
The least common multiple (LCM) of 140 and 122 is 8540.
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 140 and 122?
First, calculate the GCD of 140 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 122 = 1 remainder 18 |
| 2 | 122 ÷ 18 = 6 remainder 14 |
| 3 | 18 ÷ 14 = 1 remainder 4 |
| 4 | 14 ÷ 4 = 3 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 108 | 10260 |
| 128 and 179 | 22912 |
| 74 and 45 | 3330 |
| 155 and 185 | 5735 |
| 174 and 161 | 28014 |