Least Common Multiple (LCM) of 174 and 30
The least common multiple (LCM) of 174 and 30 is 870.
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 30?
First, calculate the GCD of 174 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 30 = 5 remainder 24 |
| 2 | 30 ÷ 24 = 1 remainder 6 |
| 3 | 24 ÷ 6 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 54 | 1188 |
| 58 and 83 | 4814 |
| 200 and 114 | 11400 |
| 169 and 50 | 8450 |
| 197 and 77 | 15169 |