Least Common Multiple (LCM) of 189 and 162
The least common multiple (LCM) of 189 and 162 is 1134.
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 189 and 162?
First, calculate the GCD of 189 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 162 = 1 remainder 27 |
| 2 | 162 ÷ 27 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 112 | 8176 |
| 37 and 110 | 4070 |
| 97 and 200 | 19400 |
| 98 and 147 | 294 |
| 103 and 93 | 9579 |