Least Common Multiple (LCM) of 63 and 181
The least common multiple (LCM) of 63 and 181 is 11403.
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 181?
First, calculate the GCD of 63 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 181 = 0 remainder 63 |
| 2 | 181 ÷ 63 = 2 remainder 55 |
| 3 | 63 ÷ 55 = 1 remainder 8 |
| 4 | 55 ÷ 8 = 6 remainder 7 |
| 5 | 8 ÷ 7 = 1 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 23 | 1863 |
| 150 and 116 | 8700 |
| 102 and 47 | 4794 |
| 134 and 120 | 8040 |
| 93 and 65 | 6045 |