Least Common Multiple (LCM) of 109 and 109
The least common multiple (LCM) of 109 and 109 is 109.
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 109?
First, calculate the GCD of 109 and 109 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 109 ÷ 109 = 1 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 197 | 9653 |
| 180 and 150 | 900 |
| 35 and 49 | 245 |
| 124 and 176 | 5456 |
| 63 and 53 | 3339 |