Least Common Multiple (LCM) of 197 and 29
The least common multiple (LCM) of 197 and 29 is 5713.
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 29?
First, calculate the GCD of 197 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 29 = 6 remainder 23 |
| 2 | 29 ÷ 23 = 1 remainder 6 |
| 3 | 23 ÷ 6 = 3 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 135 | 21735 |
| 87 and 12 | 348 |
| 70 and 183 | 12810 |
| 150 and 24 | 600 |
| 72 and 70 | 2520 |