Least Common Multiple (LCM) of 107 and 155
The least common multiple (LCM) of 107 and 155 is 16585.
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 107 and 155?
First, calculate the GCD of 107 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 155 = 0 remainder 107 |
| 2 | 155 ÷ 107 = 1 remainder 48 |
| 3 | 107 ÷ 48 = 2 remainder 11 |
| 4 | 48 ÷ 11 = 4 remainder 4 |
| 5 | 11 ÷ 4 = 2 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 97 | 15908 |
| 118 and 53 | 6254 |
| 134 and 166 | 11122 |
| 200 and 54 | 5400 |
| 180 and 72 | 360 |