Least Common Multiple (LCM) of 188 and 104
The least common multiple (LCM) of 188 and 104 is 4888.
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 104?
First, calculate the GCD of 188 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 104 = 1 remainder 84 |
| 2 | 104 ÷ 84 = 1 remainder 20 |
| 3 | 84 ÷ 20 = 4 remainder 4 |
| 4 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 195 | 5655 |
| 87 and 197 | 17139 |
| 188 and 10 | 940 |
| 126 and 27 | 378 |
| 18 and 119 | 2142 |