Least Common Multiple (LCM) of 118 and 164
The least common multiple (LCM) of 118 and 164 is 9676.
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 118 and 164?
First, calculate the GCD of 118 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 164 = 0 remainder 118 |
| 2 | 164 ÷ 118 = 1 remainder 46 |
| 3 | 118 ÷ 46 = 2 remainder 26 |
| 4 | 46 ÷ 26 = 1 remainder 20 |
| 5 | 26 ÷ 20 = 1 remainder 6 |
| 6 | 20 ÷ 6 = 3 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 18 | 738 |
| 90 and 67 | 6030 |
| 65 and 131 | 8515 |
| 81 and 157 | 12717 |
| 53 and 158 | 8374 |