Least Common Multiple (LCM) of 184 and 143
The least common multiple (LCM) of 184 and 143 is 26312.
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 184 and 143?
First, calculate the GCD of 184 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 143 = 1 remainder 41 |
| 2 | 143 ÷ 41 = 3 remainder 20 |
| 3 | 41 ÷ 20 = 2 remainder 1 |
| 4 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 115 | 7015 |
| 62 and 62 | 62 |
| 100 and 200 | 200 |
| 30 and 14 | 210 |
| 88 and 36 | 792 |