Least Common Multiple (LCM) of 126 and 158
The least common multiple (LCM) of 126 and 158 is 9954.
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 158?
First, calculate the GCD of 126 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 158 = 0 remainder 126 |
| 2 | 158 ÷ 126 = 1 remainder 32 |
| 3 | 126 ÷ 32 = 3 remainder 30 |
| 4 | 32 ÷ 30 = 1 remainder 2 |
| 5 | 30 ÷ 2 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 121 | 5203 |
| 126 and 38 | 2394 |
| 171 and 100 | 17100 |
| 53 and 68 | 3604 |
| 12 and 66 | 132 |