Least Common Multiple (LCM) of 136 and 126
The least common multiple (LCM) of 136 and 126 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 136 and 126?
First, calculate the GCD of 136 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 126 = 1 remainder 10 |
| 2 | 126 ÷ 10 = 12 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 |
|---|---|
| 78 and 67 | 5226 |
| 29 and 63 | 1827 |
| 35 and 91 | 455 |
| 124 and 128 | 3968 |
| 193 and 20 | 3860 |