Least Common Multiple (LCM) of 190 and 37
The least common multiple (LCM) of 190 and 37 is 7030.
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 37?
First, calculate the GCD of 190 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 37 = 5 remainder 5 |
| 2 | 37 ÷ 5 = 7 remainder 2 |
| 3 | 5 ÷ 2 = 2 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 178 | 14062 |
| 142 and 120 | 8520 |
| 150 and 13 | 1950 |
| 113 and 145 | 16385 |
| 123 and 21 | 861 |