Least Common Multiple (LCM) of 126 and 140
The least common multiple (LCM) of 126 and 140 is 1260.
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 126 and 140?
First, calculate the GCD of 126 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 140 = 0 remainder 126 |
| 2 | 140 ÷ 126 = 1 remainder 14 |
| 3 | 126 ÷ 14 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 144 | 5040 |
| 140 and 36 | 1260 |
| 121 and 140 | 16940 |
| 68 and 185 | 12580 |
| 180 and 55 | 1980 |