Least Common Multiple (LCM) of 110 and 14
The least common multiple (LCM) of 110 and 14 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 14?
First, calculate the GCD of 110 and 14 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 14 = 7 remainder 12 |
| 2 | 14 ÷ 12 = 1 remainder 2 |
| 3 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 25 | 825 |
| 117 and 167 | 19539 |
| 120 and 66 | 1320 |
| 73 and 187 | 13651 |
| 189 and 131 | 24759 |