Least Common Multiple (LCM) of 177 and 176
The least common multiple (LCM) of 177 and 176 is 31152.
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 177 and 176?
First, calculate the GCD of 177 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 176 = 1 remainder 1 |
| 2 | 176 ÷ 1 = 176 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 179 | 25060 |
| 32 and 171 | 5472 |
| 99 and 109 | 10791 |
| 148 and 31 | 4588 |
| 11 and 99 | 99 |