Least Common Multiple (LCM) of 92 and 114
The least common multiple (LCM) of 92 and 114 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 92 and 114?
First, calculate the GCD of 92 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 114 = 0 remainder 92 |
| 2 | 114 ÷ 92 = 1 remainder 22 |
| 3 | 92 ÷ 22 = 4 remainder 4 |
| 4 | 22 ÷ 4 = 5 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 164 | 7052 |
| 58 and 103 | 5974 |
| 23 and 173 | 3979 |
| 85 and 184 | 15640 |
| 125 and 89 | 11125 |