Least Common Multiple (LCM) of 118 and 186
The least common multiple (LCM) of 118 and 186 is 10974.
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 186?
First, calculate the GCD of 118 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 186 = 0 remainder 118 |
| 2 | 186 ÷ 118 = 1 remainder 68 |
| 3 | 118 ÷ 68 = 1 remainder 50 |
| 4 | 68 ÷ 50 = 1 remainder 18 |
| 5 | 50 ÷ 18 = 2 remainder 14 |
| 6 | 18 ÷ 14 = 1 remainder 4 |
| 7 | 14 ÷ 4 = 3 remainder 2 |
| 8 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 195 | 1365 |
| 164 and 82 | 164 |
| 86 and 148 | 6364 |
| 40 and 94 | 1880 |
| 128 and 133 | 17024 |