Least Common Multiple (LCM) of 190 and 74
The least common multiple (LCM) of 190 and 74 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 74?
First, calculate the GCD of 190 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 74 = 2 remainder 42 |
| 2 | 74 ÷ 42 = 1 remainder 32 |
| 3 | 42 ÷ 32 = 1 remainder 10 |
| 4 | 32 ÷ 10 = 3 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 148 | 6660 |
| 136 and 199 | 27064 |
| 121 and 163 | 19723 |
| 189 and 26 | 4914 |
| 182 and 75 | 13650 |