Least Common Multiple (LCM) of 110 and 50
The least common multiple (LCM) of 110 and 50 is 550.
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 50?
First, calculate the GCD of 110 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 50 = 2 remainder 10 |
| 2 | 50 ÷ 10 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 157 | 21509 |
| 138 and 91 | 12558 |
| 135 and 78 | 3510 |
| 142 and 85 | 12070 |
| 150 and 162 | 4050 |