Least Common Multiple (LCM) of 91 and 54
The least common multiple (LCM) of 91 and 54 is 4914.
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 91 and 54?
First, calculate the GCD of 91 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 54 = 1 remainder 37 |
| 2 | 54 ÷ 37 = 1 remainder 17 |
| 3 | 37 ÷ 17 = 2 remainder 3 |
| 4 | 17 ÷ 3 = 5 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 17 | 102 |
| 29 and 43 | 1247 |
| 126 and 103 | 12978 |
| 146 and 200 | 14600 |
| 33 and 184 | 6072 |