Least Common Multiple (LCM) of 161 and 87
The least common multiple (LCM) of 161 and 87 is 14007.
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 87?
First, calculate the GCD of 161 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 87 = 1 remainder 74 |
| 2 | 87 ÷ 74 = 1 remainder 13 |
| 3 | 74 ÷ 13 = 5 remainder 9 |
| 4 | 13 ÷ 9 = 1 remainder 4 |
| 5 | 9 ÷ 4 = 2 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 78 | 390 |
| 65 and 61 | 3965 |
| 191 and 100 | 19100 |
| 186 and 185 | 34410 |
| 97 and 142 | 13774 |