Least Common Multiple (LCM) of 197 and 88
The least common multiple (LCM) of 197 and 88 is 17336.
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 88?
First, calculate the GCD of 197 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 88 = 2 remainder 21 |
| 2 | 88 ÷ 21 = 4 remainder 4 |
| 3 | 21 ÷ 4 = 5 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 81 | 13770 |
| 118 and 40 | 2360 |
| 141 and 46 | 6486 |
| 94 and 104 | 4888 |
| 113 and 149 | 16837 |