Least Common Multiple (LCM) of 189 and 168
The least common multiple (LCM) of 189 and 168 is 1512.
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 168?
First, calculate the GCD of 189 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 168 = 1 remainder 21 |
| 2 | 168 ÷ 21 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 104 | 7384 |
| 138 and 55 | 7590 |
| 128 and 39 | 4992 |
| 47 and 125 | 5875 |
| 47 and 37 | 1739 |