Least Common Multiple (LCM) of 197 and 150
The least common multiple (LCM) of 197 and 150 is 29550.
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 150?
First, calculate the GCD of 197 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 150 = 1 remainder 47 |
| 2 | 150 ÷ 47 = 3 remainder 9 |
| 3 | 47 ÷ 9 = 5 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 44 | 5060 |
| 184 and 29 | 5336 |
| 127 and 86 | 10922 |
| 30 and 32 | 480 |
| 65 and 160 | 2080 |