Least Common Multiple (LCM) of 147 and 132
The least common multiple (LCM) of 147 and 132 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 147 and 132?
First, calculate the GCD of 147 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 132 = 1 remainder 15 |
| 2 | 132 ÷ 15 = 8 remainder 12 |
| 3 | 15 ÷ 12 = 1 remainder 3 |
| 4 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 115 | 9660 |
| 54 and 117 | 702 |
| 15 and 168 | 840 |
| 179 and 58 | 10382 |
| 177 and 174 | 10266 |