Least Common Multiple (LCM) of 126 and 182
The least common multiple (LCM) of 126 and 182 is 1638.
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 126 and 182?
First, calculate the GCD of 126 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 182 = 0 remainder 126 |
| 2 | 182 ÷ 126 = 1 remainder 56 |
| 3 | 126 ÷ 56 = 2 remainder 14 |
| 4 | 56 ÷ 14 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 149 | 11175 |
| 114 and 171 | 342 |
| 159 and 199 | 31641 |
| 100 and 177 | 17700 |
| 93 and 74 | 6882 |