Least Common Multiple (LCM) of 96 and 923
The least common multiple (LCM) of 96 and 923 is 88608.
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 96 and 923?
First, calculate the GCD of 96 and 923 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 923 = 0 remainder 96 |
| 2 | 923 ÷ 96 = 9 remainder 59 |
| 3 | 96 ÷ 59 = 1 remainder 37 |
| 4 | 59 ÷ 37 = 1 remainder 22 |
| 5 | 37 ÷ 22 = 1 remainder 15 |
| 6 | 22 ÷ 15 = 1 remainder 7 |
| 7 | 15 ÷ 7 = 2 remainder 1 |
| 8 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 107 | 17441 |
| 101 and 132 | 13332 |
| 155 and 173 | 26815 |
| 169 and 72 | 12168 |
| 19 and 68 | 1292 |