Least Common Multiple (LCM) of 127 and 155
The least common multiple (LCM) of 127 and 155 is 19685.
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 155?
First, calculate the GCD of 127 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 155 = 0 remainder 127 |
| 2 | 155 ÷ 127 = 1 remainder 28 |
| 3 | 127 ÷ 28 = 4 remainder 15 |
| 4 | 28 ÷ 15 = 1 remainder 13 |
| 5 | 15 ÷ 13 = 1 remainder 2 |
| 6 | 13 ÷ 2 = 6 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 196 | 784 |
| 23 and 158 | 3634 |
| 165 and 111 | 6105 |
| 137 and 22 | 3014 |
| 154 and 40 | 3080 |