Least Common Multiple (LCM) of 188 and 187
The least common multiple (LCM) of 188 and 187 is 35156.
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 187?
First, calculate the GCD of 188 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 187 = 1 remainder 1 |
| 2 | 187 ÷ 1 = 187 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 172 | 3268 |
| 69 and 74 | 5106 |
| 123 and 57 | 2337 |
| 87 and 163 | 14181 |
| 100 and 67 | 6700 |