Least Common Multiple (LCM) of 185 and 162
The least common multiple (LCM) of 185 and 162 is 29970.
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 185 and 162?
First, calculate the GCD of 185 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 162 = 1 remainder 23 |
| 2 | 162 ÷ 23 = 7 remainder 1 |
| 3 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 104 | 7384 |
| 84 and 136 | 2856 |
| 89 and 96 | 8544 |
| 113 and 183 | 20679 |
| 109 and 73 | 7957 |