Least Common Multiple (LCM) of 182 and 121
The least common multiple (LCM) of 182 and 121 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 182 and 121?
First, calculate the GCD of 182 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 121 = 1 remainder 61 |
| 2 | 121 ÷ 61 = 1 remainder 60 |
| 3 | 61 ÷ 60 = 1 remainder 1 |
| 4 | 60 ÷ 1 = 60 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 199 | 22686 |
| 56 and 186 | 5208 |
| 114 and 122 | 6954 |
| 172 and 156 | 6708 |
| 188 and 91 | 17108 |