Least Common Multiple (LCM) of 723 and 868
The least common multiple (LCM) of 723 and 868 is 627564.
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 723 and 868?
First, calculate the GCD of 723 and 868 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 723 ÷ 868 = 0 remainder 723 |
| 2 | 868 ÷ 723 = 1 remainder 145 |
| 3 | 723 ÷ 145 = 4 remainder 143 |
| 4 | 145 ÷ 143 = 1 remainder 2 |
| 5 | 143 ÷ 2 = 71 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 26 | 1222 |
| 175 and 25 | 175 |
| 126 and 200 | 12600 |
| 183 and 117 | 7137 |
| 118 and 175 | 20650 |