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 |
|---|---|
| 21 and 129 | 903 |
| 45 and 136 | 6120 |
| 143 and 93 | 13299 |
| 174 and 93 | 5394 |
| 117 and 100 | 11700 |