
Least Common Multiple (LCM) of 11 and 11
The least common multiple (LCM) of 11 and 11 is 11.
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 11?
First, calculate the GCD of 11 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 11 ÷ 11 = 1 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
180 and 77 | 13860 |
25 and 15 | 75 |
97 and 132 | 12804 |
125 and 63 | 7875 |
95 and 64 | 6080 |