Least Common Multiple (LCM) of 104 and 160
The least common multiple (LCM) of 104 and 160 is 2080.
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 104 and 160?
First, calculate the GCD of 104 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 160 = 0 remainder 104 |
| 2 | 160 ÷ 104 = 1 remainder 56 |
| 3 | 104 ÷ 56 = 1 remainder 48 |
| 4 | 56 ÷ 48 = 1 remainder 8 |
| 5 | 48 ÷ 8 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 193 | 21037 |
| 185 and 48 | 8880 |
| 45 and 29 | 1305 |
| 138 and 102 | 2346 |
| 19 and 142 | 2698 |