Least Common Multiple (LCM) of 190 and 96
The least common multiple (LCM) of 190 and 96 is 9120.
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 96?
First, calculate the GCD of 190 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 96 = 1 remainder 94 |
| 2 | 96 ÷ 94 = 1 remainder 2 |
| 3 | 94 ÷ 2 = 47 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 30 | 870 |
| 112 and 33 | 3696 |
| 13 and 55 | 715 |
| 197 and 38 | 7486 |
| 114 and 89 | 10146 |