Least Common Multiple (LCM) of 110 and 100
The least common multiple (LCM) of 110 and 100 is 1100.
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 100?
First, calculate the GCD of 110 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 100 = 1 remainder 10 |
| 2 | 100 ÷ 10 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 128 | 384 |
| 30 and 123 | 1230 |
| 80 and 10 | 80 |
| 163 and 27 | 4401 |
| 20 and 157 | 3140 |