Least Common Multiple (LCM) of 121 and 85
The least common multiple (LCM) of 121 and 85 is 10285.
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 85?
First, calculate the GCD of 121 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 85 = 1 remainder 36 |
| 2 | 85 ÷ 36 = 2 remainder 13 |
| 3 | 36 ÷ 13 = 2 remainder 10 |
| 4 | 13 ÷ 10 = 1 remainder 3 |
| 5 | 10 ÷ 3 = 3 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 89 | 890 |
| 93 and 96 | 2976 |
| 155 and 144 | 22320 |
| 145 and 99 | 14355 |
| 108 and 131 | 14148 |