Least Common Multiple (LCM) of 162 and 49
The least common multiple (LCM) of 162 and 49 is 7938.
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 49?
First, calculate the GCD of 162 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 49 = 3 remainder 15 |
| 2 | 49 ÷ 15 = 3 remainder 4 |
| 3 | 15 ÷ 4 = 3 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 40 | 4360 |
| 132 and 122 | 8052 |
| 113 and 198 | 22374 |
| 85 and 158 | 13430 |
| 197 and 180 | 35460 |