Least Common Multiple (LCM) of 143 and 153
The least common multiple (LCM) of 143 and 153 is 21879.
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 153?
First, calculate the GCD of 143 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 153 = 0 remainder 143 |
| 2 | 153 ÷ 143 = 1 remainder 10 |
| 3 | 143 ÷ 10 = 14 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 158 | 31442 |
| 145 and 180 | 5220 |
| 107 and 128 | 13696 |
| 134 and 165 | 22110 |
| 154 and 129 | 19866 |