Least Common Multiple (LCM) of 52 and 110
The least common multiple (LCM) of 52 and 110 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 52 and 110?
First, calculate the GCD of 52 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 110 = 0 remainder 52 |
| 2 | 110 ÷ 52 = 2 remainder 6 |
| 3 | 52 ÷ 6 = 8 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 140 | 700 |
| 136 and 15 | 2040 |
| 103 and 197 | 20291 |
| 166 and 188 | 15604 |
| 147 and 173 | 25431 |