Least Common Multiple (LCM) of 197 and 151
The least common multiple (LCM) of 197 and 151 is 29747.
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 151?
First, calculate the GCD of 197 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 151 = 1 remainder 46 |
| 2 | 151 ÷ 46 = 3 remainder 13 |
| 3 | 46 ÷ 13 = 3 remainder 7 |
| 4 | 13 ÷ 7 = 1 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 58 | 3306 |
| 25 and 102 | 2550 |
| 155 and 90 | 2790 |
| 58 and 22 | 638 |
| 114 and 113 | 12882 |