Least Common Multiple (LCM) of 145 and 196
The least common multiple (LCM) of 145 and 196 is 28420.
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 145 and 196?
First, calculate the GCD of 145 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 196 = 0 remainder 145 |
| 2 | 196 ÷ 145 = 1 remainder 51 |
| 3 | 145 ÷ 51 = 2 remainder 43 |
| 4 | 51 ÷ 43 = 1 remainder 8 |
| 5 | 43 ÷ 8 = 5 remainder 3 |
| 6 | 8 ÷ 3 = 2 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 76 | 14820 |
| 187 and 195 | 36465 |
| 77 and 81 | 6237 |
| 195 and 132 | 8580 |
| 69 and 187 | 12903 |