Least Common Multiple (LCM) of 188 and 173
The least common multiple (LCM) of 188 and 173 is 32524.
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 173?
First, calculate the GCD of 188 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 173 = 1 remainder 15 |
| 2 | 173 ÷ 15 = 11 remainder 8 |
| 3 | 15 ÷ 8 = 1 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 162 | 24138 |
| 117 and 167 | 19539 |
| 92 and 117 | 10764 |
| 110 and 34 | 1870 |
| 146 and 62 | 4526 |