Least Common Multiple (LCM) of 176 and 78
The least common multiple (LCM) of 176 and 78 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 78?
First, calculate the GCD of 176 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 78 = 2 remainder 20 |
| 2 | 78 ÷ 20 = 3 remainder 18 |
| 3 | 20 ÷ 18 = 1 remainder 2 |
| 4 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 141 | 14664 |
| 90 and 123 | 3690 |
| 54 and 178 | 4806 |
| 172 and 36 | 1548 |
| 18 and 126 | 126 |