Least Common Multiple (LCM) of 104 and 155
The least common multiple (LCM) of 104 and 155 is 16120.
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 155?
First, calculate the GCD of 104 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 155 = 0 remainder 104 |
| 2 | 155 ÷ 104 = 1 remainder 51 |
| 3 | 104 ÷ 51 = 2 remainder 2 |
| 4 | 51 ÷ 2 = 25 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 162 | 1782 |
| 107 and 194 | 20758 |
| 88 and 128 | 1408 |
| 25 and 123 | 3075 |
| 94 and 33 | 3102 |