Least Common Multiple (LCM) of 121 and 83
The least common multiple (LCM) of 121 and 83 is 10043.
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 83?
First, calculate the GCD of 121 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 83 = 1 remainder 38 |
| 2 | 83 ÷ 38 = 2 remainder 7 |
| 3 | 38 ÷ 7 = 5 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 105 | 12390 |
| 53 and 145 | 7685 |
| 66 and 46 | 1518 |
| 164 and 30 | 2460 |
| 125 and 10 | 250 |