Least Common Multiple (LCM) of 119 and 183
The least common multiple (LCM) of 119 and 183 is 21777.
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 119 and 183?
First, calculate the GCD of 119 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 183 = 0 remainder 119 |
| 2 | 183 ÷ 119 = 1 remainder 64 |
| 3 | 119 ÷ 64 = 1 remainder 55 |
| 4 | 64 ÷ 55 = 1 remainder 9 |
| 5 | 55 ÷ 9 = 6 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 15 | 2895 |
| 47 and 142 | 6674 |
| 106 and 102 | 5406 |
| 113 and 196 | 22148 |
| 123 and 106 | 13038 |