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 |
|---|---|
| 58 and 74 | 2146 |
| 106 and 135 | 14310 |
| 126 and 87 | 3654 |
| 127 and 124 | 15748 |
| 69 and 137 | 9453 |