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 |
|---|---|
| 177 and 123 | 7257 |
| 106 and 171 | 18126 |
| 163 and 53 | 8639 |
| 142 and 17 | 2414 |
| 170 and 118 | 10030 |