Least Common Multiple (LCM) of 127 and 40
The least common multiple (LCM) of 127 and 40 is 5080.
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 127 and 40?
First, calculate the GCD of 127 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 40 = 3 remainder 7 |
| 2 | 40 ÷ 7 = 5 remainder 5 |
| 3 | 7 ÷ 5 = 1 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 192 | 29760 |
| 167 and 106 | 17702 |
| 139 and 139 | 139 |
| 131 and 125 | 16375 |
| 156 and 16 | 624 |