Least Common Multiple (LCM) of 87 and 161
The least common multiple (LCM) of 87 and 161 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 87 and 161?
First, calculate the GCD of 87 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 161 = 0 remainder 87 |
| 2 | 161 ÷ 87 = 1 remainder 74 |
| 3 | 87 ÷ 74 = 1 remainder 13 |
| 4 | 74 ÷ 13 = 5 remainder 9 |
| 5 | 13 ÷ 9 = 1 remainder 4 |
| 6 | 9 ÷ 4 = 2 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 81 | 13446 |
| 76 and 186 | 7068 |
| 22 and 17 | 374 |
| 66 and 179 | 11814 |
| 185 and 22 | 4070 |