Least Common Multiple (LCM) of 117 and 182
The least common multiple (LCM) of 117 and 182 is 1638.
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 117 and 182?
First, calculate the GCD of 117 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 182 = 0 remainder 117 |
| 2 | 182 ÷ 117 = 1 remainder 65 |
| 3 | 117 ÷ 65 = 1 remainder 52 |
| 4 | 65 ÷ 52 = 1 remainder 13 |
| 5 | 52 ÷ 13 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 104 | 17368 |
| 73 and 43 | 3139 |
| 46 and 174 | 4002 |
| 84 and 146 | 6132 |
| 78 and 167 | 13026 |