Least Common Multiple (LCM) of 190 and 169
The least common multiple (LCM) of 190 and 169 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 190 and 169?
First, calculate the GCD of 190 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 169 = 1 remainder 21 |
| 2 | 169 ÷ 21 = 8 remainder 1 |
| 3 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 114 | 1368 |
| 25 and 49 | 1225 |
| 63 and 150 | 3150 |
| 131 and 30 | 3930 |
| 167 and 185 | 30895 |