
Least Common Multiple (LCM) of 11 and 197
The least common multiple (LCM) of 11 and 197 is 2167.
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 197?
First, calculate the GCD of 11 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 11 ÷ 197 = 0 remainder 11 |
2 | 197 ÷ 11 = 17 remainder 10 |
3 | 11 ÷ 10 = 1 remainder 1 |
4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
115 and 160 | 3680 |
145 and 192 | 27840 |
104 and 10 | 520 |
85 and 121 | 10285 |
190 and 166 | 15770 |