Least Common Multiple (LCM) of 63 and 32
The least common multiple (LCM) of 63 and 32 is 2016.
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 32?
First, calculate the GCD of 63 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 32 = 1 remainder 31 |
| 2 | 32 ÷ 31 = 1 remainder 1 |
| 3 | 31 ÷ 1 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 54 | 9126 |
| 171 and 190 | 1710 |
| 49 and 108 | 5292 |
| 157 and 86 | 13502 |
| 153 and 16 | 2448 |