Least Common Multiple (LCM) of 114 and 92
The least common multiple (LCM) of 114 and 92 is 5244.
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 114 and 92?
First, calculate the GCD of 114 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 92 = 1 remainder 22 |
| 2 | 92 ÷ 22 = 4 remainder 4 |
| 3 | 22 ÷ 4 = 5 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 45 | 1170 |
| 47 and 75 | 3525 |
| 155 and 128 | 19840 |
| 115 and 125 | 2875 |
| 156 and 196 | 7644 |