Least Common Multiple (LCM) of 52 and 68
The least common multiple (LCM) of 52 and 68 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 52 and 68?
First, calculate the GCD of 52 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 68 = 0 remainder 52 |
| 2 | 68 ÷ 52 = 1 remainder 16 |
| 3 | 52 ÷ 16 = 3 remainder 4 |
| 4 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 161 | 29946 |
| 175 and 29 | 5075 |
| 199 and 31 | 6169 |
| 23 and 114 | 2622 |
| 121 and 146 | 17666 |