Least Common Multiple (LCM) of 629 and 516
The least common multiple (LCM) of 629 and 516 is 324564.
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 629 and 516?
First, calculate the GCD of 629 and 516 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 629 ÷ 516 = 1 remainder 113 |
| 2 | 516 ÷ 113 = 4 remainder 64 |
| 3 | 113 ÷ 64 = 1 remainder 49 |
| 4 | 64 ÷ 49 = 1 remainder 15 |
| 5 | 49 ÷ 15 = 3 remainder 4 |
| 6 | 15 ÷ 4 = 3 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 23 | 1449 |
| 17 and 172 | 2924 |
| 57 and 158 | 9006 |
| 188 and 29 | 5452 |
| 90 and 180 | 180 |