Least Common Multiple (LCM) of 121 and 182
The least common multiple (LCM) of 121 and 182 is 22022.
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 182?
First, calculate the GCD of 121 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 182 = 0 remainder 121 |
| 2 | 182 ÷ 121 = 1 remainder 61 |
| 3 | 121 ÷ 61 = 1 remainder 60 |
| 4 | 61 ÷ 60 = 1 remainder 1 |
| 5 | 60 ÷ 1 = 60 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 20 | 120 |
| 119 and 40 | 4760 |
| 157 and 131 | 20567 |
| 79 and 109 | 8611 |
| 116 and 130 | 7540 |