Least Common Multiple (LCM) of 140 and 142
The least common multiple (LCM) of 140 and 142 is 9940.
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 142?
First, calculate the GCD of 140 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 142 = 0 remainder 140 |
| 2 | 142 ÷ 140 = 1 remainder 2 |
| 3 | 140 ÷ 2 = 70 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 157 | 13973 |
| 20 and 99 | 1980 |
| 18 and 108 | 108 |
| 167 and 28 | 4676 |
| 20 and 85 | 340 |