Least Common Multiple (LCM) of 132 and 126
The least common multiple (LCM) of 132 and 126 is 2772.
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 132 and 126?
First, calculate the GCD of 132 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 126 = 1 remainder 6 |
| 2 | 126 ÷ 6 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 199 | 15522 |
| 89 and 80 | 7120 |
| 68 and 141 | 9588 |
| 17 and 35 | 595 |
| 157 and 193 | 30301 |