Least Common Multiple (LCM) of 181 and 120
The least common multiple (LCM) of 181 and 120 is 21720.
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 120?
First, calculate the GCD of 181 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 120 = 1 remainder 61 |
| 2 | 120 ÷ 61 = 1 remainder 59 |
| 3 | 61 ÷ 59 = 1 remainder 2 |
| 4 | 59 ÷ 2 = 29 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 81 | 3807 |
| 150 and 108 | 2700 |
| 31 and 180 | 5580 |
| 119 and 98 | 1666 |
| 176 and 78 | 6864 |