Least Common Multiple (LCM) of 119 and 131
The least common multiple (LCM) of 119 and 131 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 119 and 131?
First, calculate the GCD of 119 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 131 = 0 remainder 119 |
| 2 | 131 ÷ 119 = 1 remainder 12 |
| 3 | 119 ÷ 12 = 9 remainder 11 |
| 4 | 12 ÷ 11 = 1 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 112 | 1232 |
| 186 and 119 | 22134 |
| 51 and 169 | 8619 |
| 128 and 40 | 640 |
| 84 and 16 | 336 |