Least Common Multiple (LCM) of 162 and 174
The least common multiple (LCM) of 162 and 174 is 4698.
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 174?
First, calculate the GCD of 162 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 174 = 0 remainder 162 |
| 2 | 174 ÷ 162 = 1 remainder 12 |
| 3 | 162 ÷ 12 = 13 remainder 6 |
| 4 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 189 | 3213 |
| 14 and 105 | 210 |
| 175 and 196 | 4900 |
| 59 and 97 | 5723 |
| 51 and 187 | 561 |