Least Common Multiple (LCM) of 143 and 164
The least common multiple (LCM) of 143 and 164 is 23452.
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 164?
First, calculate the GCD of 143 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 164 = 0 remainder 143 |
| 2 | 164 ÷ 143 = 1 remainder 21 |
| 3 | 143 ÷ 21 = 6 remainder 17 |
| 4 | 21 ÷ 17 = 1 remainder 4 |
| 5 | 17 ÷ 4 = 4 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 149 | 24138 |
| 48 and 127 | 6096 |
| 114 and 10 | 570 |
| 39 and 172 | 6708 |
| 60 and 105 | 420 |