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 |
|---|---|
| 118 and 110 | 6490 |
| 137 and 146 | 20002 |
| 89 and 164 | 14596 |
| 159 and 28 | 4452 |
| 119 and 70 | 1190 |