Least Common Multiple (LCM) of 80 and 176
The least common multiple (LCM) of 80 and 176 is 880.
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 80 and 176?
First, calculate the GCD of 80 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 176 = 0 remainder 80 |
| 2 | 176 ÷ 80 = 2 remainder 16 |
| 3 | 80 ÷ 16 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 168 | 25032 |
| 157 and 60 | 9420 |
| 187 and 50 | 9350 |
| 116 and 29 | 116 |
| 147 and 139 | 20433 |