Least Common Multiple (LCM) of 147 and 171
The least common multiple (LCM) of 147 and 171 is 8379.
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 171?
First, calculate the GCD of 147 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 171 = 0 remainder 147 |
| 2 | 171 ÷ 147 = 1 remainder 24 |
| 3 | 147 ÷ 24 = 6 remainder 3 |
| 4 | 24 ÷ 3 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 129 | 9804 |
| 166 and 78 | 6474 |
| 179 and 76 | 13604 |
| 90 and 71 | 6390 |
| 195 and 183 | 11895 |