Least Common Multiple (LCM) of 162 and 188
The least common multiple (LCM) of 162 and 188 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 162 and 188?
First, calculate the GCD of 162 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 188 = 0 remainder 162 |
| 2 | 188 ÷ 162 = 1 remainder 26 |
| 3 | 162 ÷ 26 = 6 remainder 6 |
| 4 | 26 ÷ 6 = 4 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 101 | 4646 |
| 95 and 103 | 9785 |
| 50 and 42 | 1050 |
| 144 and 168 | 1008 |
| 80 and 87 | 6960 |