Least Common Multiple (LCM) of 117 and 176
The least common multiple (LCM) of 117 and 176 is 20592.
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 176?
First, calculate the GCD of 117 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 176 = 0 remainder 117 |
| 2 | 176 ÷ 117 = 1 remainder 59 |
| 3 | 117 ÷ 59 = 1 remainder 58 |
| 4 | 59 ÷ 58 = 1 remainder 1 |
| 5 | 58 ÷ 1 = 58 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 135 | 24435 |
| 195 and 120 | 1560 |
| 90 and 86 | 3870 |
| 128 and 27 | 3456 |
| 111 and 126 | 4662 |