Least Common Multiple (LCM) of 131 and 119
The least common multiple (LCM) of 131 and 119 is 15589.
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 131 and 119?
First, calculate the GCD of 131 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 119 = 1 remainder 12 |
| 2 | 119 ÷ 12 = 9 remainder 11 |
| 3 | 12 ÷ 11 = 1 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 60 | 9660 |
| 138 and 112 | 7728 |
| 136 and 177 | 24072 |
| 191 and 107 | 20437 |
| 103 and 132 | 13596 |