Least Common Multiple (LCM) of 161 and 107
The least common multiple (LCM) of 161 and 107 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 161 and 107?
First, calculate the GCD of 161 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 107 = 1 remainder 54 |
| 2 | 107 ÷ 54 = 1 remainder 53 |
| 3 | 54 ÷ 53 = 1 remainder 1 |
| 4 | 53 ÷ 1 = 53 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 154 | 154 |
| 118 and 114 | 6726 |
| 149 and 183 | 27267 |
| 85 and 174 | 14790 |
| 160 and 154 | 12320 |