Least Common Multiple (LCM) of 109 and 108
The least common multiple (LCM) of 109 and 108 is 11772.
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 108?
First, calculate the GCD of 109 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 109 ÷ 108 = 1 remainder 1 |
| 2 | 108 ÷ 1 = 108 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 40 | 120 |
| 48 and 95 | 4560 |
| 133 and 193 | 25669 |
| 175 and 134 | 23450 |
| 92 and 14 | 644 |