Least Common Multiple (LCM) of 44 and 162
The least common multiple (LCM) of 44 and 162 is 3564.
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 44 and 162?
First, calculate the GCD of 44 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 162 = 0 remainder 44 |
| 2 | 162 ÷ 44 = 3 remainder 30 |
| 3 | 44 ÷ 30 = 1 remainder 14 |
| 4 | 30 ÷ 14 = 2 remainder 2 |
| 5 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 102 | 2142 |
| 145 and 14 | 2030 |
| 99 and 97 | 9603 |
| 160 and 193 | 30880 |
| 82 and 138 | 5658 |