Least Common Multiple (LCM) of 68 and 52
The least common multiple (LCM) of 68 and 52 is 884.
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 68 and 52?
First, calculate the GCD of 68 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 68 ÷ 52 = 1 remainder 16 |
| 2 | 52 ÷ 16 = 3 remainder 4 |
| 3 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 27 | 2214 |
| 43 and 67 | 2881 |
| 40 and 51 | 2040 |
| 61 and 30 | 1830 |
| 176 and 69 | 12144 |