Least Common Multiple (LCM) of 176 and 77
The least common multiple (LCM) of 176 and 77 is 1232.
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 77?
First, calculate the GCD of 176 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 77 = 2 remainder 22 |
| 2 | 77 ÷ 22 = 3 remainder 11 |
| 3 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 191 | 4393 |
| 91 and 79 | 7189 |
| 143 and 179 | 25597 |
| 154 and 139 | 21406 |
| 157 and 137 | 21509 |