Least Common Multiple (LCM) of 132 and 141
The least common multiple (LCM) of 132 and 141 is 6204.
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 141?
First, calculate the GCD of 132 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 141 = 0 remainder 132 |
| 2 | 141 ÷ 132 = 1 remainder 9 |
| 3 | 132 ÷ 9 = 14 remainder 6 |
| 4 | 9 ÷ 6 = 1 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 180 | 180 |
| 22 and 54 | 594 |
| 135 and 161 | 21735 |
| 112 and 31 | 3472 |
| 149 and 46 | 6854 |