Least Common Multiple (LCM) of 55 and 190
The least common multiple (LCM) of 55 and 190 is 2090.
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 55 and 190?
First, calculate the GCD of 55 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 190 = 0 remainder 55 |
| 2 | 190 ÷ 55 = 3 remainder 25 |
| 3 | 55 ÷ 25 = 2 remainder 5 |
| 4 | 25 ÷ 5 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 48 | 4080 |
| 85 and 44 | 3740 |
| 76 and 104 | 1976 |
| 94 and 126 | 5922 |
| 80 and 63 | 5040 |