Least Common Multiple (LCM) of 177 and 52
The least common multiple (LCM) of 177 and 52 is 9204.
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 52?
First, calculate the GCD of 177 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 52 = 3 remainder 21 |
| 2 | 52 ÷ 21 = 2 remainder 10 |
| 3 | 21 ÷ 10 = 2 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 171 | 4446 |
| 91 and 153 | 13923 |
| 66 and 190 | 6270 |
| 107 and 148 | 15836 |
| 112 and 50 | 2800 |