Least Common Multiple (LCM) of 177 and 53
The least common multiple (LCM) of 177 and 53 is 9381.
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 53?
First, calculate the GCD of 177 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 53 = 3 remainder 18 |
| 2 | 53 ÷ 18 = 2 remainder 17 |
| 3 | 18 ÷ 17 = 1 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 59 | 4543 |
| 37 and 76 | 2812 |
| 51 and 105 | 1785 |
| 16 and 83 | 1328 |
| 130 and 64 | 4160 |