Least Common Multiple (LCM) of 110 and 107
The least common multiple (LCM) of 110 and 107 is 11770.
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 107?
First, calculate the GCD of 110 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 107 = 1 remainder 3 |
| 2 | 107 ÷ 3 = 35 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 179 | 26850 |
| 160 and 37 | 5920 |
| 87 and 171 | 4959 |
| 116 and 35 | 4060 |
| 156 and 59 | 9204 |