Least Common Multiple (LCM) of 184 and 118
The least common multiple (LCM) of 184 and 118 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 184 and 118?
First, calculate the GCD of 184 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 118 = 1 remainder 66 |
| 2 | 118 ÷ 66 = 1 remainder 52 |
| 3 | 66 ÷ 52 = 1 remainder 14 |
| 4 | 52 ÷ 14 = 3 remainder 10 |
| 5 | 14 ÷ 10 = 1 remainder 4 |
| 6 | 10 ÷ 4 = 2 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 38 | 1330 |
| 22 and 126 | 1386 |
| 155 and 139 | 21545 |
| 32 and 185 | 5920 |
| 188 and 110 | 10340 |