Least Common Multiple (LCM) of 143 and 197
The least common multiple (LCM) of 143 and 197 is 28171.
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 143 and 197?
First, calculate the GCD of 143 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 197 = 0 remainder 143 |
| 2 | 197 ÷ 143 = 1 remainder 54 |
| 3 | 143 ÷ 54 = 2 remainder 35 |
| 4 | 54 ÷ 35 = 1 remainder 19 |
| 5 | 35 ÷ 19 = 1 remainder 16 |
| 6 | 19 ÷ 16 = 1 remainder 3 |
| 7 | 16 ÷ 3 = 5 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 174 | 20706 |
| 111 and 72 | 2664 |
| 73 and 109 | 7957 |
| 113 and 109 | 12317 |
| 124 and 91 | 11284 |