Least Common Multiple (LCM) of 126 and 137
The least common multiple (LCM) of 126 and 137 is 17262.
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 137?
First, calculate the GCD of 126 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 137 = 0 remainder 126 |
| 2 | 137 ÷ 126 = 1 remainder 11 |
| 3 | 126 ÷ 11 = 11 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 148 | 15540 |
| 179 and 79 | 14141 |
| 149 and 94 | 14006 |
| 106 and 45 | 4770 |
| 188 and 150 | 14100 |