Least Common Multiple (LCM) of 177 and 184
The least common multiple (LCM) of 177 and 184 is 32568.
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 184?
First, calculate the GCD of 177 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 184 = 0 remainder 177 |
| 2 | 184 ÷ 177 = 1 remainder 7 |
| 3 | 177 ÷ 7 = 25 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 152 | 1976 |
| 24 and 69 | 552 |
| 124 and 39 | 4836 |
| 137 and 80 | 10960 |
| 90 and 141 | 4230 |