Least Common Multiple (LCM) of 190 and 137
The least common multiple (LCM) of 190 and 137 is 26030.
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 137?
First, calculate the GCD of 190 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 137 = 1 remainder 53 |
| 2 | 137 ÷ 53 = 2 remainder 31 |
| 3 | 53 ÷ 31 = 1 remainder 22 |
| 4 | 31 ÷ 22 = 1 remainder 9 |
| 5 | 22 ÷ 9 = 2 remainder 4 |
| 6 | 9 ÷ 4 = 2 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 113 | 6328 |
| 193 and 47 | 9071 |
| 10 and 31 | 310 |
| 124 and 85 | 10540 |
| 121 and 116 | 14036 |