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 |
|---|---|
| 171 and 157 | 26847 |
| 179 and 121 | 21659 |
| 112 and 128 | 896 |
| 183 and 62 | 11346 |
| 96 and 99 | 3168 |