Least Common Multiple (LCM) of 177 and 188
The least common multiple (LCM) of 177 and 188 is 33276.
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 188?
First, calculate the GCD of 177 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 188 = 0 remainder 177 |
| 2 | 188 ÷ 177 = 1 remainder 11 |
| 3 | 177 ÷ 11 = 16 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 97 | 12028 |
| 48 and 80 | 240 |
| 125 and 87 | 10875 |
| 14 and 121 | 1694 |
| 91 and 156 | 1092 |