Least Common Multiple (LCM) of 61 and 182
The least common multiple (LCM) of 61 and 182 is 11102.
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 61 and 182?
First, calculate the GCD of 61 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 182 = 0 remainder 61 |
| 2 | 182 ÷ 61 = 2 remainder 60 |
| 3 | 61 ÷ 60 = 1 remainder 1 |
| 4 | 60 ÷ 1 = 60 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 182 | 728 |
| 73 and 24 | 1752 |
| 186 and 38 | 3534 |
| 49 and 100 | 4900 |
| 177 and 37 | 6549 |