Least Common Multiple (LCM) of 110 and 46
The least common multiple (LCM) of 110 and 46 is 2530.
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 46?
First, calculate the GCD of 110 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 46 = 2 remainder 18 |
| 2 | 46 ÷ 18 = 2 remainder 10 |
| 3 | 18 ÷ 10 = 1 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 158 | 15484 |
| 185 and 166 | 30710 |
| 198 and 66 | 198 |
| 178 and 76 | 6764 |
| 119 and 128 | 15232 |