Least Common Multiple (LCM) of 168 and 141
The least common multiple (LCM) of 168 and 141 is 7896.
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 168 and 141?
First, calculate the GCD of 168 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 141 = 1 remainder 27 |
| 2 | 141 ÷ 27 = 5 remainder 6 |
| 3 | 27 ÷ 6 = 4 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 86 | 1806 |
| 94 and 15 | 1410 |
| 155 and 199 | 30845 |
| 64 and 14 | 448 |
| 45 and 75 | 225 |