Least Common Multiple (LCM) of 137 and 126
The least common multiple (LCM) of 137 and 126 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 137 and 126?
First, calculate the GCD of 137 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 126 = 1 remainder 11 |
| 2 | 126 ÷ 11 = 11 remainder 5 |
| 3 | 11 ÷ 5 = 2 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 147 | 882 |
| 105 and 165 | 1155 |
| 82 and 72 | 2952 |
| 166 and 89 | 14774 |
| 71 and 57 | 4047 |