Least Common Multiple (LCM) of 107 and 161
The least common multiple (LCM) of 107 and 161 is 17227.
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 161?
First, calculate the GCD of 107 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 161 = 0 remainder 107 |
| 2 | 161 ÷ 107 = 1 remainder 54 |
| 3 | 107 ÷ 54 = 1 remainder 53 |
| 4 | 54 ÷ 53 = 1 remainder 1 |
| 5 | 53 ÷ 1 = 53 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 21 | 105 |
| 198 and 137 | 27126 |
| 72 and 114 | 1368 |
| 26 and 181 | 4706 |
| 141 and 162 | 7614 |