Least Common Multiple (LCM) of 110 and 92
The least common multiple (LCM) of 110 and 92 is 5060.
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 92?
First, calculate the GCD of 110 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 92 = 1 remainder 18 |
| 2 | 92 ÷ 18 = 5 remainder 2 |
| 3 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 146 | 11388 |
| 19 and 21 | 399 |
| 121 and 136 | 16456 |
| 142 and 128 | 9088 |
| 133 and 49 | 931 |