
Least Common Multiple (LCM) of 11 and 54
The least common multiple (LCM) of 11 and 54 is 594.
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 11 and 54?
First, calculate the GCD of 11 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 11 ÷ 54 = 0 remainder 11 |
2 | 54 ÷ 11 = 4 remainder 10 |
3 | 11 ÷ 10 = 1 remainder 1 |
4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
41 and 196 | 8036 |
113 and 149 | 16837 |
30 and 189 | 1890 |
132 and 164 | 5412 |
49 and 173 | 8477 |