Least Common Multiple (LCM) of 197 and 32
The least common multiple (LCM) of 197 and 32 is 6304.
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 197 and 32?
First, calculate the GCD of 197 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 32 = 6 remainder 5 |
| 2 | 32 ÷ 5 = 6 remainder 2 |
| 3 | 5 ÷ 2 = 2 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 53 | 5989 |
| 74 and 96 | 3552 |
| 142 and 161 | 22862 |
| 68 and 46 | 1564 |
| 50 and 56 | 1400 |