Least Common Multiple (LCM) of 127 and 26
The least common multiple (LCM) of 127 and 26 is 3302.
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 26?
First, calculate the GCD of 127 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 26 = 4 remainder 23 |
| 2 | 26 ÷ 23 = 1 remainder 3 |
| 3 | 23 ÷ 3 = 7 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 49 | 7791 |
| 111 and 19 | 2109 |
| 137 and 101 | 13837 |
| 108 and 144 | 432 |
| 189 and 113 | 21357 |