Least Common Multiple (LCM) of 188 and 175
The least common multiple (LCM) of 188 and 175 is 32900.
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 175?
First, calculate the GCD of 188 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 175 = 1 remainder 13 |
| 2 | 175 ÷ 13 = 13 remainder 6 |
| 3 | 13 ÷ 6 = 2 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 175 | 24325 |
| 181 and 187 | 33847 |
| 44 and 180 | 1980 |
| 187 and 69 | 12903 |
| 54 and 118 | 3186 |