Least Common Multiple (LCM) of 195 and 110
The least common multiple (LCM) of 195 and 110 is 4290.
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 195 and 110?
First, calculate the GCD of 195 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 110 = 1 remainder 85 |
| 2 | 110 ÷ 85 = 1 remainder 25 |
| 3 | 85 ÷ 25 = 3 remainder 10 |
| 4 | 25 ÷ 10 = 2 remainder 5 |
| 5 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 154 | 12320 |
| 50 and 49 | 2450 |
| 82 and 109 | 8938 |
| 25 and 14 | 350 |
| 123 and 15 | 615 |