Least Common Multiple (LCM) of 178 and 80
The least common multiple (LCM) of 178 and 80 is 7120.
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 178 and 80?
First, calculate the GCD of 178 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 80 = 2 remainder 18 |
| 2 | 80 ÷ 18 = 4 remainder 8 |
| 3 | 18 ÷ 8 = 2 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 187 | 35904 |
| 167 and 119 | 19873 |
| 173 and 82 | 14186 |
| 187 and 23 | 4301 |
| 128 and 166 | 10624 |