Least Common Multiple (LCM) of 177 and 147
The least common multiple (LCM) of 177 and 147 is 8673.
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 177 and 147?
First, calculate the GCD of 177 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 147 = 1 remainder 30 |
| 2 | 147 ÷ 30 = 4 remainder 27 |
| 3 | 30 ÷ 27 = 1 remainder 3 |
| 4 | 27 ÷ 3 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 106 | 5406 |
| 61 and 28 | 1708 |
| 197 and 191 | 37627 |
| 109 and 162 | 17658 |
| 16 and 63 | 1008 |