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 |
|---|---|
| 41 and 64 | 2624 |
| 17 and 25 | 425 |
| 34 and 44 | 748 |
| 18 and 120 | 360 |
| 167 and 46 | 7682 |