Least Common Multiple (LCM) of 140 and 182
The least common multiple (LCM) of 140 and 182 is 1820.
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 182?
First, calculate the GCD of 140 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 182 = 0 remainder 140 |
| 2 | 182 ÷ 140 = 1 remainder 42 |
| 3 | 140 ÷ 42 = 3 remainder 14 |
| 4 | 42 ÷ 14 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 40 | 2280 |
| 125 and 39 | 4875 |
| 99 and 160 | 15840 |
| 15 and 131 | 1965 |
| 37 and 14 | 518 |