Least Common Multiple (LCM) of 63 and 185
The least common multiple (LCM) of 63 and 185 is 11655.
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 185?
First, calculate the GCD of 63 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 185 = 0 remainder 63 |
| 2 | 185 ÷ 63 = 2 remainder 59 |
| 3 | 63 ÷ 59 = 1 remainder 4 |
| 4 | 59 ÷ 4 = 14 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 24 | 4296 |
| 160 and 121 | 19360 |
| 153 and 63 | 1071 |
| 24 and 87 | 696 |
| 189 and 12 | 756 |