Least Common Multiple (LCM) of 180 and 174
The least common multiple (LCM) of 180 and 174 is 5220.
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 180 and 174?
First, calculate the GCD of 180 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 174 = 1 remainder 6 |
| 2 | 174 ÷ 6 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 114 | 12198 |
| 177 and 178 | 31506 |
| 22 and 162 | 1782 |
| 165 and 183 | 10065 |
| 149 and 181 | 26969 |