Least Common Multiple (LCM) of 44 and 197
The least common multiple (LCM) of 44 and 197 is 8668.
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 44 and 197?
First, calculate the GCD of 44 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 197 = 0 remainder 44 |
| 2 | 197 ÷ 44 = 4 remainder 21 |
| 3 | 44 ÷ 21 = 2 remainder 2 |
| 4 | 21 ÷ 2 = 10 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 139 | 20155 |
| 87 and 31 | 2697 |
| 192 and 67 | 12864 |
| 52 and 135 | 7020 |
| 61 and 112 | 6832 |