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 |
|---|---|
| 186 and 173 | 32178 |
| 87 and 137 | 11919 |
| 156 and 165 | 8580 |
| 175 and 164 | 28700 |
| 112 and 113 | 12656 |