Least Common Multiple (LCM) of 174 and 180
The least common multiple (LCM) of 174 and 180 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 174 and 180?
First, calculate the GCD of 174 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 180 = 0 remainder 174 |
| 2 | 180 ÷ 174 = 1 remainder 6 |
| 3 | 174 ÷ 6 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 107 | 16050 |
| 46 and 98 | 2254 |
| 114 and 41 | 4674 |
| 56 and 77 | 616 |
| 83 and 135 | 11205 |