Least Common Multiple (LCM) of 168 and 74
The least common multiple (LCM) of 168 and 74 is 6216.
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 74?
First, calculate the GCD of 168 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 74 = 2 remainder 20 |
| 2 | 74 ÷ 20 = 3 remainder 14 |
| 3 | 20 ÷ 14 = 1 remainder 6 |
| 4 | 14 ÷ 6 = 2 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 47 | 6157 |
| 198 and 129 | 8514 |
| 18 and 169 | 3042 |
| 82 and 77 | 6314 |
| 117 and 198 | 2574 |