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 |
|---|---|
| 189 and 40 | 7560 |
| 68 and 92 | 1564 |
| 14 and 42 | 42 |
| 105 and 93 | 3255 |
| 120 and 114 | 2280 |