Least Common Multiple (LCM) of 174 and 130
The least common multiple (LCM) of 174 and 130 is 11310.
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 130?
First, calculate the GCD of 174 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 130 = 1 remainder 44 |
| 2 | 130 ÷ 44 = 2 remainder 42 |
| 3 | 44 ÷ 42 = 1 remainder 2 |
| 4 | 42 ÷ 2 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 140 | 7980 |
| 105 and 17 | 1785 |
| 133 and 65 | 8645 |
| 162 and 135 | 810 |
| 165 and 98 | 16170 |