Least Common Multiple (LCM) of 110 and 26
The least common multiple (LCM) of 110 and 26 is 1430.
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 26?
First, calculate the GCD of 110 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 26 = 4 remainder 6 |
| 2 | 26 ÷ 6 = 4 remainder 2 |
| 3 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 38 | 6194 |
| 86 and 155 | 13330 |
| 13 and 122 | 1586 |
| 85 and 111 | 9435 |
| 49 and 75 | 3675 |