Least Common Multiple (LCM) of 162 and 118
The least common multiple (LCM) of 162 and 118 is 9558.
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 118?
First, calculate the GCD of 162 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 118 = 1 remainder 44 |
| 2 | 118 ÷ 44 = 2 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 |
|---|---|
| 190 and 100 | 1900 |
| 34 and 29 | 986 |
| 30 and 193 | 5790 |
| 46 and 144 | 3312 |
| 99 and 38 | 3762 |