Least Common Multiple (LCM) of 190 and 174
The least common multiple (LCM) of 190 and 174 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 190 and 174?
First, calculate the GCD of 190 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 174 = 1 remainder 16 |
| 2 | 174 ÷ 16 = 10 remainder 14 |
| 3 | 16 ÷ 14 = 1 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 78 | 12246 |
| 41 and 27 | 1107 |
| 45 and 91 | 4095 |
| 118 and 45 | 5310 |
| 84 and 83 | 6972 |