Least Common Multiple (LCM) of 176 and 39
The least common multiple (LCM) of 176 and 39 is 6864.
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 39?
First, calculate the GCD of 176 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 39 = 4 remainder 20 |
| 2 | 39 ÷ 20 = 1 remainder 19 |
| 3 | 20 ÷ 19 = 1 remainder 1 |
| 4 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 156 | 1872 |
| 193 and 45 | 8685 |
| 151 and 104 | 15704 |
| 35 and 169 | 5915 |
| 164 and 153 | 25092 |