Least Common Multiple (LCM) of 121 and 43
The least common multiple (LCM) of 121 and 43 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 121 and 43?
First, calculate the GCD of 121 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 43 = 2 remainder 35 |
| 2 | 43 ÷ 35 = 1 remainder 8 |
| 3 | 35 ÷ 8 = 4 remainder 3 |
| 4 | 8 ÷ 3 = 2 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 47 | 7097 |
| 155 and 45 | 1395 |
| 147 and 82 | 12054 |
| 153 and 118 | 18054 |
| 19 and 54 | 1026 |