Least Common Multiple (LCM) of 195 and 140
The least common multiple (LCM) of 195 and 140 is 5460.
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 195 and 140?
First, calculate the GCD of 195 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 140 = 1 remainder 55 |
| 2 | 140 ÷ 55 = 2 remainder 30 |
| 3 | 55 ÷ 30 = 1 remainder 25 |
| 4 | 30 ÷ 25 = 1 remainder 5 |
| 5 | 25 ÷ 5 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 109 | 6867 |
| 104 and 11 | 1144 |
| 47 and 197 | 9259 |
| 119 and 151 | 17969 |
| 90 and 31 | 2790 |