Least Common Multiple (LCM) of 190 and 133
The least common multiple (LCM) of 190 and 133 is 1330.
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 133?
First, calculate the GCD of 190 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 133 = 1 remainder 57 |
| 2 | 133 ÷ 57 = 2 remainder 19 |
| 3 | 57 ÷ 19 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 183 | 183 |
| 171 and 160 | 27360 |
| 118 and 22 | 1298 |
| 99 and 141 | 4653 |
| 91 and 108 | 9828 |