Least Common Multiple (LCM) of 188 and 162
The least common multiple (LCM) of 188 and 162 is 15228.
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 162?
First, calculate the GCD of 188 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 162 = 1 remainder 26 |
| 2 | 162 ÷ 26 = 6 remainder 6 |
| 3 | 26 ÷ 6 = 4 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 95 and 185 | 3515 |
| 105 and 63 | 315 |
| 102 and 148 | 7548 |
| 163 and 39 | 6357 |
| 111 and 104 | 11544 |