Least Common Multiple (LCM) of 181 and 119
The least common multiple (LCM) of 181 and 119 is 21539.
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 119?
First, calculate the GCD of 181 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 119 = 1 remainder 62 |
| 2 | 119 ÷ 62 = 1 remainder 57 |
| 3 | 62 ÷ 57 = 1 remainder 5 |
| 4 | 57 ÷ 5 = 11 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 90 | 8280 |
| 69 and 153 | 3519 |
| 72 and 14 | 504 |
| 122 and 112 | 6832 |
| 198 and 83 | 16434 |