Least Common Multiple (LCM) of 61 and 176
The least common multiple (LCM) of 61 and 176 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 61 and 176?
First, calculate the GCD of 61 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 176 = 0 remainder 61 |
| 2 | 176 ÷ 61 = 2 remainder 54 |
| 3 | 61 ÷ 54 = 1 remainder 7 |
| 4 | 54 ÷ 7 = 7 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 187 | 32164 |
| 178 and 197 | 35066 |
| 60 and 76 | 1140 |
| 82 and 118 | 4838 |
| 102 and 50 | 2550 |