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 |
|---|---|
| 196 and 160 | 7840 |
| 124 and 53 | 6572 |
| 140 and 172 | 6020 |
| 111 and 152 | 16872 |
| 122 and 20 | 1220 |