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 |
|---|---|
| 155 and 148 | 22940 |
| 198 and 81 | 1782 |
| 188 and 120 | 5640 |
| 163 and 195 | 31785 |
| 103 and 50 | 5150 |