Least Common Multiple (LCM) of 147 and 126
The least common multiple (LCM) of 147 and 126 is 882.
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 147 and 126?
First, calculate the GCD of 147 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 126 = 1 remainder 21 |
| 2 | 126 ÷ 21 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 104 | 7800 |
| 119 and 180 | 21420 |
| 19 and 46 | 874 |
| 183 and 142 | 25986 |
| 188 and 181 | 34028 |