Least Common Multiple (LCM) of 140 and 196
The least common multiple (LCM) of 140 and 196 is 980.
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 196?
First, calculate the GCD of 140 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 196 = 0 remainder 140 |
| 2 | 196 ÷ 140 = 1 remainder 56 |
| 3 | 140 ÷ 56 = 2 remainder 28 |
| 4 | 56 ÷ 28 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 12 | 192 |
| 94 and 122 | 5734 |
| 30 and 147 | 1470 |
| 196 and 32 | 1568 |
| 195 and 69 | 4485 |