Least Common Multiple (LCM) of 140 and 126
The least common multiple (LCM) of 140 and 126 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 140 and 126?
First, calculate the GCD of 140 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 126 = 1 remainder 14 |
| 2 | 126 ÷ 14 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 110 | 19470 |
| 104 and 186 | 9672 |
| 33 and 118 | 3894 |
| 85 and 142 | 12070 |
| 137 and 108 | 14796 |