Least Common Multiple (LCM) of 102 and 143
The least common multiple (LCM) of 102 and 143 is 14586.
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 102 and 143?
First, calculate the GCD of 102 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 143 = 0 remainder 102 |
| 2 | 143 ÷ 102 = 1 remainder 41 |
| 3 | 102 ÷ 41 = 2 remainder 20 |
| 4 | 41 ÷ 20 = 2 remainder 1 |
| 5 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 64 | 11072 |
| 96 and 170 | 8160 |
| 17 and 101 | 1717 |
| 47 and 134 | 6298 |
| 117 and 173 | 20241 |