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 |
|---|---|
| 189 and 154 | 4158 |
| 152 and 10 | 760 |
| 191 and 180 | 34380 |
| 131 and 37 | 4847 |
| 35 and 70 | 70 |