Least Common Multiple (LCM) of 145 and 43
The least common multiple (LCM) of 145 and 43 is 6235.
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 145 and 43?
First, calculate the GCD of 145 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 43 = 3 remainder 16 |
| 2 | 43 ÷ 16 = 2 remainder 11 |
| 3 | 16 ÷ 11 = 1 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 18 | 558 |
| 26 and 161 | 4186 |
| 133 and 178 | 23674 |
| 164 and 73 | 11972 |
| 182 and 157 | 28574 |