Least Common Multiple (LCM) of 195 and 143
The least common multiple (LCM) of 195 and 143 is 2145.
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 143?
First, calculate the GCD of 195 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 143 = 1 remainder 52 |
| 2 | 143 ÷ 52 = 2 remainder 39 |
| 3 | 52 ÷ 39 = 1 remainder 13 |
| 4 | 39 ÷ 13 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 120 | 3720 |
| 33 and 199 | 6567 |
| 199 and 54 | 10746 |
| 50 and 180 | 900 |
| 95 and 128 | 12160 |