Least Common Multiple (LCM) of 190 and 164
The least common multiple (LCM) of 190 and 164 is 15580.
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 164?
First, calculate the GCD of 190 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 164 = 1 remainder 26 |
| 2 | 164 ÷ 26 = 6 remainder 8 |
| 3 | 26 ÷ 8 = 3 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 174 | 5568 |
| 141 and 151 | 21291 |
| 111 and 165 | 6105 |
| 123 and 52 | 6396 |
| 74 and 85 | 6290 |