Least Common Multiple (LCM) of 174 and 190
The least common multiple (LCM) of 174 and 190 is 16530.
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 190?
First, calculate the GCD of 174 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 190 = 0 remainder 174 |
| 2 | 190 ÷ 174 = 1 remainder 16 |
| 3 | 174 ÷ 16 = 10 remainder 14 |
| 4 | 16 ÷ 14 = 1 remainder 2 |
| 5 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 105 | 14910 |
| 77 and 130 | 10010 |
| 115 and 119 | 13685 |
| 143 and 10 | 1430 |
| 69 and 18 | 414 |