Least Common Multiple (LCM) of 63 and 63
The least common multiple (LCM) of 63 and 63 is 63.
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 63?
First, calculate the GCD of 63 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 63 = 1 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 129 | 6321 |
| 152 and 140 | 5320 |
| 55 and 102 | 5610 |
| 191 and 46 | 8786 |
| 173 and 21 | 3633 |