
Least Common Multiple (LCM) of 191 and 106
The least common multiple (LCM) of 191 and 106 is 20246.
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 191 and 106?
First, calculate the GCD of 191 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 191 ÷ 106 = 1 remainder 85 |
2 | 106 ÷ 85 = 1 remainder 21 |
3 | 85 ÷ 21 = 4 remainder 1 |
4 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
41 and 77 | 3157 |
70 and 79 | 5530 |
42 and 106 | 2226 |
52 and 43 | 2236 |
32 and 189 | 6048 |