Least Common Multiple (LCM) of 43 and 187
The least common multiple (LCM) of 43 and 187 is 8041.
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 43 and 187?
First, calculate the GCD of 43 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 43 ÷ 187 = 0 remainder 43 |
| 2 | 187 ÷ 43 = 4 remainder 15 |
| 3 | 43 ÷ 15 = 2 remainder 13 |
| 4 | 15 ÷ 13 = 1 remainder 2 |
| 5 | 13 ÷ 2 = 6 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 129 | 9546 |
| 144 and 172 | 6192 |
| 136 and 78 | 5304 |
| 59 and 113 | 6667 |
| 113 and 47 | 5311 |