Least Common Multiple (LCM) of 147 and 33
The least common multiple (LCM) of 147 and 33 is 1617.
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 33?
First, calculate the GCD of 147 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 33 = 4 remainder 15 |
| 2 | 33 ÷ 15 = 2 remainder 3 |
| 3 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 58 | 10962 |
| 108 and 109 | 11772 |
| 129 and 60 | 2580 |
| 196 and 85 | 16660 |
| 81 and 177 | 4779 |