Least Common Multiple (LCM) of 110 and 52
The least common multiple (LCM) of 110 and 52 is 2860.
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 52?
First, calculate the GCD of 110 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 52 = 2 remainder 6 |
| 2 | 52 ÷ 6 = 8 remainder 4 |
| 3 | 6 ÷ 4 = 1 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 106 | 8692 |
| 68 and 199 | 13532 |
| 165 and 162 | 8910 |
| 32 and 18 | 288 |
| 39 and 199 | 7761 |