Least Common Multiple (LCM) of 197 and 153
The least common multiple (LCM) of 197 and 153 is 30141.
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 153?
First, calculate the GCD of 197 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 153 = 1 remainder 44 |
| 2 | 153 ÷ 44 = 3 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 |
|---|---|
| 96 and 42 | 672 |
| 55 and 123 | 6765 |
| 159 and 118 | 18762 |
| 28 and 200 | 1400 |
| 166 and 178 | 14774 |