Least Common Multiple (LCM) of 176 and 117
The least common multiple (LCM) of 176 and 117 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 176 and 117?
First, calculate the GCD of 176 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 117 = 1 remainder 59 |
| 2 | 117 ÷ 59 = 1 remainder 58 |
| 3 | 59 ÷ 58 = 1 remainder 1 |
| 4 | 58 ÷ 1 = 58 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 119 | 6188 |
| 194 and 137 | 26578 |
| 96 and 106 | 5088 |
| 72 and 157 | 11304 |
| 42 and 99 | 1386 |