Least Common Multiple (LCM) of 93 and 162
The least common multiple (LCM) of 93 and 162 is 5022.
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 93 and 162?
First, calculate the GCD of 93 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 162 = 0 remainder 93 |
| 2 | 162 ÷ 93 = 1 remainder 69 |
| 3 | 93 ÷ 69 = 1 remainder 24 |
| 4 | 69 ÷ 24 = 2 remainder 21 |
| 5 | 24 ÷ 21 = 1 remainder 3 |
| 6 | 21 ÷ 3 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 67 | 11323 |
| 142 and 146 | 10366 |
| 101 and 200 | 20200 |
| 173 and 121 | 20933 |
| 190 and 185 | 7030 |