Least Common Multiple (LCM) of 118 and 188
The least common multiple (LCM) of 118 and 188 is 11092.
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 188?
First, calculate the GCD of 118 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 188 = 0 remainder 118 |
| 2 | 188 ÷ 118 = 1 remainder 70 |
| 3 | 118 ÷ 70 = 1 remainder 48 |
| 4 | 70 ÷ 48 = 1 remainder 22 |
| 5 | 48 ÷ 22 = 2 remainder 4 |
| 6 | 22 ÷ 4 = 5 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 61 | 4209 |
| 71 and 114 | 8094 |
| 74 and 99 | 7326 |
| 143 and 105 | 15015 |
| 178 and 26 | 2314 |