Least Common Multiple (LCM) of 190 and 116
The least common multiple (LCM) of 190 and 116 is 11020.
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 116?
First, calculate the GCD of 190 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 116 = 1 remainder 74 |
| 2 | 116 ÷ 74 = 1 remainder 42 |
| 3 | 74 ÷ 42 = 1 remainder 32 |
| 4 | 42 ÷ 32 = 1 remainder 10 |
| 5 | 32 ÷ 10 = 3 remainder 2 |
| 6 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 58 | 4640 |
| 60 and 145 | 1740 |
| 29 and 132 | 3828 |
| 104 and 147 | 15288 |
| 114 and 43 | 4902 |