Least Common Multiple (LCM) of 146 and 126
The least common multiple (LCM) of 146 and 126 is 9198.
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 146 and 126?
First, calculate the GCD of 146 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 126 = 1 remainder 20 |
| 2 | 126 ÷ 20 = 6 remainder 6 |
| 3 | 20 ÷ 6 = 3 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 69 | 9453 |
| 131 and 75 | 9825 |
| 167 and 56 | 9352 |
| 197 and 132 | 26004 |
| 130 and 153 | 19890 |