Least Common Multiple (LCM) of 164 and 190
The least common multiple (LCM) of 164 and 190 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 164 and 190?
First, calculate the GCD of 164 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 190 = 0 remainder 164 |
| 2 | 190 ÷ 164 = 1 remainder 26 |
| 3 | 164 ÷ 26 = 6 remainder 8 |
| 4 | 26 ÷ 8 = 3 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 102 | 8364 |
| 49 and 100 | 4900 |
| 33 and 87 | 957 |
| 189 and 169 | 31941 |
| 34 and 107 | 3638 |