Least Common Multiple (LCM) of 126 and 147
The least common multiple (LCM) of 126 and 147 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 126 and 147?
First, calculate the GCD of 126 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 147 = 0 remainder 126 |
| 2 | 147 ÷ 126 = 1 remainder 21 |
| 3 | 126 ÷ 21 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 74 | 11026 |
| 169 and 134 | 22646 |
| 35 and 40 | 280 |
| 21 and 58 | 1218 |
| 187 and 71 | 13277 |