Least Common Multiple (LCM) of 143 and 154
The least common multiple (LCM) of 143 and 154 is 2002.
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 154?
First, calculate the GCD of 143 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 154 = 0 remainder 143 |
| 2 | 154 ÷ 143 = 1 remainder 11 |
| 3 | 143 ÷ 11 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 170 | 4760 |
| 182 and 159 | 28938 |
| 144 and 162 | 1296 |
| 56 and 52 | 728 |
| 188 and 196 | 9212 |