Least Common Multiple (LCM) of 176 and 53
The least common multiple (LCM) of 176 and 53 is 9328.
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 176 and 53?
First, calculate the GCD of 176 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 53 = 3 remainder 17 |
| 2 | 53 ÷ 17 = 3 remainder 2 |
| 3 | 17 ÷ 2 = 8 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 10 | 310 |
| 103 and 38 | 3914 |
| 163 and 79 | 12877 |
| 183 and 106 | 19398 |
| 23 and 13 | 299 |