Least Common Multiple (LCM) of 127 and 156
The least common multiple (LCM) of 127 and 156 is 19812.
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 156?
First, calculate the GCD of 127 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 156 = 0 remainder 127 |
| 2 | 156 ÷ 127 = 1 remainder 29 |
| 3 | 127 ÷ 29 = 4 remainder 11 |
| 4 | 29 ÷ 11 = 2 remainder 7 |
| 5 | 11 ÷ 7 = 1 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 72 | 4392 |
| 101 and 155 | 15655 |
| 176 and 29 | 5104 |
| 80 and 18 | 720 |
| 20 and 105 | 420 |