Least Common Multiple (LCM) of 110 and 93
The least common multiple (LCM) of 110 and 93 is 10230.
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 93?
First, calculate the GCD of 110 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 93 = 1 remainder 17 |
| 2 | 93 ÷ 17 = 5 remainder 8 |
| 3 | 17 ÷ 8 = 2 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 71 | 10153 |
| 125 and 152 | 19000 |
| 150 and 10 | 150 |
| 27 and 73 | 1971 |
| 176 and 161 | 28336 |