Least Common Multiple (LCM) of 176 and 89
The least common multiple (LCM) of 176 and 89 is 15664.
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 89?
First, calculate the GCD of 176 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 89 = 1 remainder 87 |
| 2 | 89 ÷ 87 = 1 remainder 2 |
| 3 | 87 ÷ 2 = 43 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 10 | 1330 |
| 114 and 188 | 10716 |
| 22 and 105 | 2310 |
| 160 and 158 | 12640 |
| 124 and 57 | 7068 |