Least Common Multiple (LCM) of 173 and 188
The least common multiple (LCM) of 173 and 188 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 173 and 188?
First, calculate the GCD of 173 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 188 = 0 remainder 173 |
| 2 | 188 ÷ 173 = 1 remainder 15 |
| 3 | 173 ÷ 15 = 11 remainder 8 |
| 4 | 15 ÷ 8 = 1 remainder 7 |
| 5 | 8 ÷ 7 = 1 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 19 | 399 |
| 75 and 42 | 1050 |
| 31 and 135 | 4185 |
| 154 and 59 | 9086 |
| 136 and 34 | 136 |