Least Common Multiple (LCM) of 147 and 177
The least common multiple (LCM) of 147 and 177 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 147 and 177?
First, calculate the GCD of 147 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 177 = 0 remainder 147 |
| 2 | 177 ÷ 147 = 1 remainder 30 |
| 3 | 147 ÷ 30 = 4 remainder 27 |
| 4 | 30 ÷ 27 = 1 remainder 3 |
| 5 | 27 ÷ 3 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 196 | 11172 |
| 96 and 135 | 4320 |
| 181 and 65 | 11765 |
| 113 and 162 | 18306 |
| 107 and 68 | 7276 |