Least Common Multiple (LCM) of 181 and 180
The least common multiple (LCM) of 181 and 180 is 32580.
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 181 and 180?
First, calculate the GCD of 181 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 180 = 1 remainder 1 |
| 2 | 180 ÷ 1 = 180 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 122 | 13054 |
| 107 and 147 | 15729 |
| 120 and 107 | 12840 |
| 66 and 172 | 5676 |
| 112 and 101 | 11312 |