Least Common Multiple (LCM) of 109 and 104
The least common multiple (LCM) of 109 and 104 is 11336.
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 104?
First, calculate the GCD of 109 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 109 ÷ 104 = 1 remainder 5 |
| 2 | 104 ÷ 5 = 20 remainder 4 |
| 3 | 5 ÷ 4 = 1 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 41 | 1599 |
| 160 and 40 | 160 |
| 34 and 112 | 1904 |
| 60 and 44 | 660 |
| 117 and 25 | 2925 |