Least Common Multiple (LCM) of 126 and 116
The least common multiple (LCM) of 126 and 116 is 7308.
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 116?
First, calculate the GCD of 126 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 116 = 1 remainder 10 |
| 2 | 116 ÷ 10 = 11 remainder 6 |
| 3 | 10 ÷ 6 = 1 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 173 | 23874 |
| 161 and 183 | 29463 |
| 111 and 35 | 3885 |
| 185 and 174 | 32190 |
| 38 and 181 | 6878 |