Least Common Multiple (LCM) of 69 and 131
The least common multiple (LCM) of 69 and 131 is 9039.
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 69 and 131?
First, calculate the GCD of 69 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 69 ÷ 131 = 0 remainder 69 |
| 2 | 131 ÷ 69 = 1 remainder 62 |
| 3 | 69 ÷ 62 = 1 remainder 7 |
| 4 | 62 ÷ 7 = 8 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 100 | 13100 |
| 160 and 78 | 6240 |
| 184 and 12 | 552 |
| 99 and 162 | 1782 |
| 179 and 158 | 28282 |