Least Common Multiple (LCM) of 52 and 177
The least common multiple (LCM) of 52 and 177 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 52 and 177?
First, calculate the GCD of 52 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 177 = 0 remainder 52 |
| 2 | 177 ÷ 52 = 3 remainder 21 |
| 3 | 52 ÷ 21 = 2 remainder 10 |
| 4 | 21 ÷ 10 = 2 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 128 | 13696 |
| 127 and 55 | 6985 |
| 90 and 31 | 2790 |
| 68 and 152 | 2584 |
| 144 and 29 | 4176 |