Least Common Multiple (LCM) of 63 and 184
The least common multiple (LCM) of 63 and 184 is 11592.
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 184?
First, calculate the GCD of 63 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 184 = 0 remainder 63 |
| 2 | 184 ÷ 63 = 2 remainder 58 |
| 3 | 63 ÷ 58 = 1 remainder 5 |
| 4 | 58 ÷ 5 = 11 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 82 | 15498 |
| 123 and 62 | 7626 |
| 126 and 178 | 11214 |
| 87 and 193 | 16791 |
| 120 and 69 | 2760 |