Least Common Multiple (LCM) of 110 and 164
The least common multiple (LCM) of 110 and 164 is 9020.
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 110 and 164?
First, calculate the GCD of 110 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 164 = 0 remainder 110 |
| 2 | 164 ÷ 110 = 1 remainder 54 |
| 3 | 110 ÷ 54 = 2 remainder 2 |
| 4 | 54 ÷ 2 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 107 | 12091 |
| 43 and 180 | 7740 |
| 79 and 94 | 7426 |
| 195 and 80 | 3120 |
| 138 and 84 | 1932 |