Least Common Multiple (LCM) of 161 and 180
The least common multiple (LCM) of 161 and 180 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 161 and 180?
First, calculate the GCD of 161 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 180 = 0 remainder 161 |
| 2 | 180 ÷ 161 = 1 remainder 19 |
| 3 | 161 ÷ 19 = 8 remainder 9 |
| 4 | 19 ÷ 9 = 2 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 193 | 6176 |
| 64 and 110 | 3520 |
| 128 and 21 | 2688 |
| 180 and 142 | 12780 |
| 53 and 87 | 4611 |