Least Common Multiple (LCM) of 126 and 136
The least common multiple (LCM) of 126 and 136 is 8568.
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 136?
First, calculate the GCD of 126 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 136 = 0 remainder 126 |
| 2 | 136 ÷ 126 = 1 remainder 10 |
| 3 | 126 ÷ 10 = 12 remainder 6 |
| 4 | 10 ÷ 6 = 1 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 13 | 2418 |
| 177 and 28 | 4956 |
| 194 and 145 | 28130 |
| 199 and 136 | 27064 |
| 118 and 69 | 8142 |