Least Common Multiple (LCM) of 63 and 197
The least common multiple (LCM) of 63 and 197 is 12411.
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 197?
First, calculate the GCD of 63 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 197 = 0 remainder 63 |
| 2 | 197 ÷ 63 = 3 remainder 8 |
| 3 | 63 ÷ 8 = 7 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 166 | 18094 |
| 166 and 126 | 10458 |
| 10 and 126 | 630 |
| 129 and 37 | 4773 |
| 134 and 20 | 1340 |