Least Common Multiple (LCM) of 168 and 54
The least common multiple (LCM) of 168 and 54 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 168 and 54?
First, calculate the GCD of 168 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 54 = 3 remainder 6 |
| 2 | 54 ÷ 6 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 110 | 1540 |
| 40 and 196 | 1960 |
| 96 and 120 | 480 |
| 102 and 125 | 12750 |
| 186 and 33 | 2046 |