Least Common Multiple (LCM) of 63 and 133
The least common multiple (LCM) of 63 and 133 is 1197.
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 133?
First, calculate the GCD of 63 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 133 = 0 remainder 63 |
| 2 | 133 ÷ 63 = 2 remainder 7 |
| 3 | 63 ÷ 7 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 63 | 12222 |
| 110 and 171 | 18810 |
| 162 and 111 | 5994 |
| 114 and 104 | 5928 |
| 109 and 97 | 10573 |