Least Common Multiple (LCM) of 54 and 92
The least common multiple (LCM) of 54 and 92 is 2484.
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 54 and 92?
First, calculate the GCD of 54 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 54 ÷ 92 = 0 remainder 54 |
| 2 | 92 ÷ 54 = 1 remainder 38 |
| 3 | 54 ÷ 38 = 1 remainder 16 |
| 4 | 38 ÷ 16 = 2 remainder 6 |
| 5 | 16 ÷ 6 = 2 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 113 | 21809 |
| 140 and 24 | 840 |
| 136 and 25 | 3400 |
| 95 and 46 | 4370 |
| 96 and 92 | 2208 |