Least Common Multiple (LCM) of 188 and 176
The least common multiple (LCM) of 188 and 176 is 8272.
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 188 and 176?
First, calculate the GCD of 188 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 176 = 1 remainder 12 |
| 2 | 176 ÷ 12 = 14 remainder 8 |
| 3 | 12 ÷ 8 = 1 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 200 | 14600 |
| 27 and 71 | 1917 |
| 183 and 114 | 6954 |
| 107 and 153 | 16371 |
| 159 and 33 | 1749 |