Least Common Multiple (LCM) of 132 and 147
The least common multiple (LCM) of 132 and 147 is 6468.
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 147?
First, calculate the GCD of 132 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 147 = 0 remainder 132 |
| 2 | 147 ÷ 132 = 1 remainder 15 |
| 3 | 132 ÷ 15 = 8 remainder 12 |
| 4 | 15 ÷ 12 = 1 remainder 3 |
| 5 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 135 | 4995 |
| 24 and 189 | 1512 |
| 19 and 185 | 3515 |
| 112 and 91 | 1456 |
| 165 and 179 | 29535 |