Least Common Multiple (LCM) of 176 and 61
The least common multiple (LCM) of 176 and 61 is 10736.
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 61?
First, calculate the GCD of 176 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 61 = 2 remainder 54 |
| 2 | 61 ÷ 54 = 1 remainder 7 |
| 3 | 54 ÷ 7 = 7 remainder 5 |
| 4 | 7 ÷ 5 = 1 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 198 | 4950 |
| 128 and 28 | 896 |
| 145 and 15 | 435 |
| 146 and 26 | 1898 |
| 187 and 73 | 13651 |