Least Common Multiple (LCM) of 143 and 179
The least common multiple (LCM) of 143 and 179 is 25597.
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 179?
First, calculate the GCD of 143 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 179 = 0 remainder 143 |
| 2 | 179 ÷ 143 = 1 remainder 36 |
| 3 | 143 ÷ 36 = 3 remainder 35 |
| 4 | 36 ÷ 35 = 1 remainder 1 |
| 5 | 35 ÷ 1 = 35 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 51 | 1326 |
| 69 and 20 | 1380 |
| 132 and 139 | 18348 |
| 77 and 164 | 12628 |
| 168 and 55 | 9240 |