Least Common Multiple (LCM) of 119 and 184
The least common multiple (LCM) of 119 and 184 is 21896.
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 184?
First, calculate the GCD of 119 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 184 = 0 remainder 119 |
| 2 | 184 ÷ 119 = 1 remainder 65 |
| 3 | 119 ÷ 65 = 1 remainder 54 |
| 4 | 65 ÷ 54 = 1 remainder 11 |
| 5 | 54 ÷ 11 = 4 remainder 10 |
| 6 | 11 ÷ 10 = 1 remainder 1 |
| 7 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 127 | 13208 |
| 77 and 39 | 3003 |
| 19 and 158 | 3002 |
| 152 and 91 | 13832 |
| 154 and 61 | 9394 |