Least Common Multiple (LCM) of 43 and 121
The least common multiple (LCM) of 43 and 121 is 5203.
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 121?
First, calculate the GCD of 43 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 43 ÷ 121 = 0 remainder 43 |
| 2 | 121 ÷ 43 = 2 remainder 35 |
| 3 | 43 ÷ 35 = 1 remainder 8 |
| 4 | 35 ÷ 8 = 4 remainder 3 |
| 5 | 8 ÷ 3 = 2 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 195 | 11115 |
| 101 and 137 | 13837 |
| 155 and 119 | 18445 |
| 40 and 102 | 2040 |
| 99 and 36 | 396 |