Least Common Multiple (LCM) of 104 and 186
The least common multiple (LCM) of 104 and 186 is 9672.
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 104 and 186?
First, calculate the GCD of 104 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 186 = 0 remainder 104 |
| 2 | 186 ÷ 104 = 1 remainder 82 |
| 3 | 104 ÷ 82 = 1 remainder 22 |
| 4 | 82 ÷ 22 = 3 remainder 16 |
| 5 | 22 ÷ 16 = 1 remainder 6 |
| 6 | 16 ÷ 6 = 2 remainder 4 |
| 7 | 6 ÷ 4 = 1 remainder 2 |
| 8 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 131 | 4847 |
| 195 and 22 | 4290 |
| 112 and 88 | 1232 |
| 121 and 31 | 3751 |
| 23 and 37 | 851 |