Least Common Multiple (LCM) of 110 and 182
The least common multiple (LCM) of 110 and 182 is 10010.
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 182?
First, calculate the GCD of 110 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 182 = 0 remainder 110 |
| 2 | 182 ÷ 110 = 1 remainder 72 |
| 3 | 110 ÷ 72 = 1 remainder 38 |
| 4 | 72 ÷ 38 = 1 remainder 34 |
| 5 | 38 ÷ 34 = 1 remainder 4 |
| 6 | 34 ÷ 4 = 8 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 86 | 13158 |
| 129 and 125 | 16125 |
| 88 and 189 | 16632 |
| 195 and 61 | 11895 |
| 178 and 134 | 11926 |