Least Common Multiple (LCM) of 109 and 127
The least common multiple (LCM) of 109 and 127 is 13843.
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 109 and 127?
First, calculate the GCD of 109 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 109 ÷ 127 = 0 remainder 109 |
| 2 | 127 ÷ 109 = 1 remainder 18 |
| 3 | 109 ÷ 18 = 6 remainder 1 |
| 4 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 129 | 25671 |
| 89 and 17 | 1513 |
| 72 and 53 | 3816 |
| 153 and 102 | 306 |
| 117 and 97 | 11349 |