Least Common Multiple (LCM) of 63 and 121
The least common multiple (LCM) of 63 and 121 is 7623.
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 121?
First, calculate the GCD of 63 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 121 = 0 remainder 63 |
| 2 | 121 ÷ 63 = 1 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 |
|---|---|
| 110 and 177 | 19470 |
| 106 and 179 | 18974 |
| 191 and 186 | 35526 |
| 134 and 131 | 17554 |
| 197 and 95 | 18715 |