Least Common Multiple (LCM) of 92 and 110
The least common multiple (LCM) of 92 and 110 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 92 and 110?
First, calculate the GCD of 92 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 110 = 0 remainder 92 |
| 2 | 110 ÷ 92 = 1 remainder 18 |
| 3 | 92 ÷ 18 = 5 remainder 2 |
| 4 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 39 | 1209 |
| 178 and 112 | 9968 |
| 157 and 177 | 27789 |
| 66 and 126 | 1386 |
| 151 and 119 | 17969 |