Least Common Multiple (LCM) of 63 and 71
The least common multiple (LCM) of 63 and 71 is 4473.
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 63 and 71?
First, calculate the GCD of 63 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 71 = 0 remainder 63 |
| 2 | 71 ÷ 63 = 1 remainder 8 |
| 3 | 63 ÷ 8 = 7 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 60 | 120 |
| 113 and 99 | 11187 |
| 47 and 179 | 8413 |
| 125 and 39 | 4875 |
| 76 and 200 | 3800 |