Least Common Multiple (LCM) of 143 and 110
The least common multiple (LCM) of 143 and 110 is 1430.
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 143 and 110?
First, calculate the GCD of 143 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 110 = 1 remainder 33 |
| 2 | 110 ÷ 33 = 3 remainder 11 |
| 3 | 33 ÷ 11 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 41 | 8159 |
| 121 and 65 | 7865 |
| 195 and 21 | 1365 |
| 175 and 104 | 18200 |
| 104 and 120 | 1560 |