Least Common Multiple (LCM) of 169 and 190
The least common multiple (LCM) of 169 and 190 is 32110.
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 169 and 190?
First, calculate the GCD of 169 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 190 = 0 remainder 169 |
| 2 | 190 ÷ 169 = 1 remainder 21 |
| 3 | 169 ÷ 21 = 8 remainder 1 |
| 4 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 35 | 3640 |
| 196 and 91 | 2548 |
| 40 and 135 | 1080 |
| 121 and 53 | 6413 |
| 165 and 73 | 12045 |