Least Common Multiple (LCM) of 168 and 58
The least common multiple (LCM) of 168 and 58 is 4872.
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 58?
First, calculate the GCD of 168 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 58 = 2 remainder 52 |
| 2 | 58 ÷ 52 = 1 remainder 6 |
| 3 | 52 ÷ 6 = 8 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 162 | 5670 |
| 187 and 70 | 13090 |
| 120 and 144 | 720 |
| 159 and 150 | 7950 |
| 105 and 32 | 3360 |