Least Common Multiple (LCM) of 176 and 18
The least common multiple (LCM) of 176 and 18 is 1584.
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 18?
First, calculate the GCD of 176 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 18 = 9 remainder 14 |
| 2 | 18 ÷ 14 = 1 remainder 4 |
| 3 | 14 ÷ 4 = 3 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 22 | 2156 |
| 105 and 87 | 3045 |
| 143 and 87 | 12441 |
| 63 and 90 | 630 |
| 119 and 116 | 13804 |