Least Common Multiple (LCM) of 140 and 146
The least common multiple (LCM) of 140 and 146 is 10220.
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 146?
First, calculate the GCD of 140 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 146 = 0 remainder 140 |
| 2 | 146 ÷ 140 = 1 remainder 6 |
| 3 | 140 ÷ 6 = 23 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 46 | 828 |
| 105 and 66 | 2310 |
| 119 and 29 | 3451 |
| 11 and 113 | 1243 |
| 186 and 13 | 2418 |