Least Common Multiple (LCM) of 188 and 95
The least common multiple (LCM) of 188 and 95 is 17860.
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 95?
First, calculate the GCD of 188 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 95 = 1 remainder 93 |
| 2 | 95 ÷ 93 = 1 remainder 2 |
| 3 | 93 ÷ 2 = 46 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 152 | 27512 |
| 192 and 28 | 1344 |
| 50 and 177 | 8850 |
| 91 and 200 | 18200 |
| 27 and 188 | 5076 |