Least Common Multiple (LCM) of 140 and 127
The least common multiple (LCM) of 140 and 127 is 17780.
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 127?
First, calculate the GCD of 140 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 127 = 1 remainder 13 |
| 2 | 127 ÷ 13 = 9 remainder 10 |
| 3 | 13 ÷ 10 = 1 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 173 | 6574 |
| 185 and 130 | 4810 |
| 17 and 107 | 1819 |
| 153 and 90 | 1530 |
| 175 and 25 | 175 |