Least Common Multiple (LCM) of 180 and 161
The least common multiple (LCM) of 180 and 161 is 28980.
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 180 and 161?
First, calculate the GCD of 180 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 161 = 1 remainder 19 |
| 2 | 161 ÷ 19 = 8 remainder 9 |
| 3 | 19 ÷ 9 = 2 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 103 | 19982 |
| 196 and 139 | 27244 |
| 104 and 101 | 10504 |
| 94 and 76 | 3572 |
| 140 and 46 | 3220 |