Least Common Multiple (LCM) of 176 and 52
The least common multiple (LCM) of 176 and 52 is 2288.
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 52?
First, calculate the GCD of 176 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 52 = 3 remainder 20 |
| 2 | 52 ÷ 20 = 2 remainder 12 |
| 3 | 20 ÷ 12 = 1 remainder 8 |
| 4 | 12 ÷ 8 = 1 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 116 | 8932 |
| 189 and 64 | 12096 |
| 164 and 40 | 1640 |
| 63 and 150 | 3150 |
| 160 and 163 | 26080 |