Least Common Multiple (LCM) of 127 and 106
The least common multiple (LCM) of 127 and 106 is 13462.
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 106?
First, calculate the GCD of 127 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 106 = 1 remainder 21 |
| 2 | 106 ÷ 21 = 5 remainder 1 |
| 3 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 100 | 100 |
| 53 and 13 | 689 |
| 146 and 153 | 22338 |
| 183 and 89 | 16287 |
| 29 and 77 | 2233 |