Least Common Multiple (LCM) of 158 and 126
The least common multiple (LCM) of 158 and 126 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 158 and 126?
First, calculate the GCD of 158 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 126 = 1 remainder 32 |
| 2 | 126 ÷ 32 = 3 remainder 30 |
| 3 | 32 ÷ 30 = 1 remainder 2 |
| 4 | 30 ÷ 2 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 62 | 992 |
| 67 and 13 | 871 |
| 37 and 13 | 481 |
| 29 and 108 | 3132 |
| 42 and 149 | 6258 |