Least Common Multiple (LCM) of 149 and 197
The least common multiple (LCM) of 149 and 197 is 29353.
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 149 and 197?
First, calculate the GCD of 149 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 197 = 0 remainder 149 |
| 2 | 197 ÷ 149 = 1 remainder 48 |
| 3 | 149 ÷ 48 = 3 remainder 5 |
| 4 | 48 ÷ 5 = 9 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 17 | 306 |
| 186 and 59 | 10974 |
| 95 and 60 | 1140 |
| 41 and 171 | 7011 |
| 144 and 121 | 17424 |