Least Common Multiple (LCM) of 162 and 190
The least common multiple (LCM) of 162 and 190 is 15390.
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 162 and 190?
First, calculate the GCD of 162 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 190 = 0 remainder 162 |
| 2 | 190 ÷ 162 = 1 remainder 28 |
| 3 | 162 ÷ 28 = 5 remainder 22 |
| 4 | 28 ÷ 22 = 1 remainder 6 |
| 5 | 22 ÷ 6 = 3 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 183 | 8967 |
| 31 and 82 | 2542 |
| 47 and 87 | 4089 |
| 189 and 129 | 8127 |
| 144 and 184 | 3312 |