Least Common Multiple (LCM) of 919 and 796
The least common multiple (LCM) of 919 and 796 is 731524.
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 919 and 796?
First, calculate the GCD of 919 and 796 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 919 ÷ 796 = 1 remainder 123 |
| 2 | 796 ÷ 123 = 6 remainder 58 |
| 3 | 123 ÷ 58 = 2 remainder 7 |
| 4 | 58 ÷ 7 = 8 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 43 | 5160 |
| 11 and 126 | 1386 |
| 114 and 129 | 4902 |
| 117 and 163 | 19071 |
| 116 and 194 | 11252 |