Least Common Multiple (LCM) of 43 and 154
The least common multiple (LCM) of 43 and 154 is 6622.
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 154?
First, calculate the GCD of 43 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 43 ÷ 154 = 0 remainder 43 |
| 2 | 154 ÷ 43 = 3 remainder 25 |
| 3 | 43 ÷ 25 = 1 remainder 18 |
| 4 | 25 ÷ 18 = 1 remainder 7 |
| 5 | 18 ÷ 7 = 2 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 183 | 2379 |
| 198 and 169 | 33462 |
| 124 and 176 | 5456 |
| 34 and 48 | 816 |
| 15 and 58 | 870 |