Least Common Multiple (LCM) of 176 and 116
The least common multiple (LCM) of 176 and 116 is 5104.
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 116?
First, calculate the GCD of 176 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 116 = 1 remainder 60 |
| 2 | 116 ÷ 60 = 1 remainder 56 |
| 3 | 60 ÷ 56 = 1 remainder 4 |
| 4 | 56 ÷ 4 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 163 | 18745 |
| 16 and 119 | 1904 |
| 123 and 55 | 6765 |
| 129 and 193 | 24897 |
| 59 and 136 | 8024 |