Least Common Multiple (LCM) of 190 and 59
The least common multiple (LCM) of 190 and 59 is 11210.
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 59?
First, calculate the GCD of 190 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 59 = 3 remainder 13 |
| 2 | 59 ÷ 13 = 4 remainder 7 |
| 3 | 13 ÷ 7 = 1 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 174 | 6612 |
| 30 and 58 | 870 |
| 50 and 33 | 1650 |
| 15 and 190 | 570 |
| 38 and 159 | 6042 |