Least Common Multiple (LCM) of 143 and 185
The least common multiple (LCM) of 143 and 185 is 26455.
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 185?
First, calculate the GCD of 143 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 185 = 0 remainder 143 |
| 2 | 185 ÷ 143 = 1 remainder 42 |
| 3 | 143 ÷ 42 = 3 remainder 17 |
| 4 | 42 ÷ 17 = 2 remainder 8 |
| 5 | 17 ÷ 8 = 2 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 34 | 374 |
| 136 and 178 | 12104 |
| 77 and 63 | 693 |
| 153 and 26 | 3978 |
| 77 and 44 | 308 |