Least Common Multiple (LCM) of 118 and 184
The least common multiple (LCM) of 118 and 184 is 10856.
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 118 and 184?
First, calculate the GCD of 118 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 184 = 0 remainder 118 |
| 2 | 184 ÷ 118 = 1 remainder 66 |
| 3 | 118 ÷ 66 = 1 remainder 52 |
| 4 | 66 ÷ 52 = 1 remainder 14 |
| 5 | 52 ÷ 14 = 3 remainder 10 |
| 6 | 14 ÷ 10 = 1 remainder 4 |
| 7 | 10 ÷ 4 = 2 remainder 2 |
| 8 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 106 | 11130 |
| 121 and 157 | 18997 |
| 79 and 145 | 11455 |
| 49 and 146 | 7154 |
| 78 and 156 | 156 |