Least Common Multiple (LCM) of 153 and 197
The least common multiple (LCM) of 153 and 197 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 153 and 197?
First, calculate the GCD of 153 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 197 = 0 remainder 153 |
| 2 | 197 ÷ 153 = 1 remainder 44 |
| 3 | 153 ÷ 44 = 3 remainder 21 |
| 4 | 44 ÷ 21 = 2 remainder 2 |
| 5 | 21 ÷ 2 = 10 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 173 | 33043 |
| 141 and 173 | 24393 |
| 32 and 14 | 224 |
| 87 and 190 | 16530 |
| 112 and 138 | 7728 |