Least Common Multiple (LCM) of 190 and 108
The least common multiple (LCM) of 190 and 108 is 10260.
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 108?
First, calculate the GCD of 190 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 108 = 1 remainder 82 |
| 2 | 108 ÷ 82 = 1 remainder 26 |
| 3 | 82 ÷ 26 = 3 remainder 4 |
| 4 | 26 ÷ 4 = 6 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 196 | 13524 |
| 93 and 108 | 3348 |
| 157 and 200 | 31400 |
| 110 and 158 | 8690 |
| 152 and 16 | 304 |