Least Common Multiple (LCM) of 176 and 187
The least common multiple (LCM) of 176 and 187 is 2992.
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 187?
First, calculate the GCD of 176 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 187 = 0 remainder 176 |
| 2 | 187 ÷ 176 = 1 remainder 11 |
| 3 | 176 ÷ 11 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 13 | 2483 |
| 35 and 72 | 2520 |
| 50 and 141 | 7050 |
| 95 and 124 | 11780 |
| 105 and 31 | 3255 |