Least Common Multiple (LCM) of 110 and 35
The least common multiple (LCM) of 110 and 35 is 770.
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 35?
First, calculate the GCD of 110 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 35 = 3 remainder 5 |
| 2 | 35 ÷ 5 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 78 | 78 |
| 137 and 166 | 22742 |
| 107 and 170 | 18190 |
| 55 and 75 | 825 |
| 104 and 123 | 12792 |