Least Common Multiple (LCM) of 117 and 146
The least common multiple (LCM) of 117 and 146 is 17082.
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 146?
First, calculate the GCD of 117 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 146 = 0 remainder 117 |
| 2 | 146 ÷ 117 = 1 remainder 29 |
| 3 | 117 ÷ 29 = 4 remainder 1 |
| 4 | 29 ÷ 1 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 161 | 25277 |
| 73 and 11 | 803 |
| 129 and 194 | 25026 |
| 122 and 103 | 12566 |
| 181 and 189 | 34209 |