Least Common Multiple (LCM) of 10 and 161
The least common multiple (LCM) of 10 and 161 is 1610.
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 10 and 161?
First, calculate the GCD of 10 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 10 ÷ 161 = 0 remainder 10 |
| 2 | 161 ÷ 10 = 16 remainder 1 |
| 3 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 196 | 11956 |
| 101 and 90 | 9090 |
| 45 and 144 | 720 |
| 137 and 168 | 23016 |
| 171 and 18 | 342 |