Least Common Multiple (LCM) of 147 and 82
The least common multiple (LCM) of 147 and 82 is 12054.
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 82?
First, calculate the GCD of 147 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 82 = 1 remainder 65 |
| 2 | 82 ÷ 65 = 1 remainder 17 |
| 3 | 65 ÷ 17 = 3 remainder 14 |
| 4 | 17 ÷ 14 = 1 remainder 3 |
| 5 | 14 ÷ 3 = 4 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 170 | 2550 |
| 67 and 188 | 12596 |
| 163 and 177 | 28851 |
| 124 and 59 | 7316 |
| 113 and 73 | 8249 |