Least Common Multiple (LCM) of 131 and 102
The least common multiple (LCM) of 131 and 102 is 13362.
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 102?
First, calculate the GCD of 131 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 102 = 1 remainder 29 |
| 2 | 102 ÷ 29 = 3 remainder 15 |
| 3 | 29 ÷ 15 = 1 remainder 14 |
| 4 | 15 ÷ 14 = 1 remainder 1 |
| 5 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 127 | 1778 |
| 193 and 165 | 31845 |
| 112 and 96 | 672 |
| 151 and 94 | 14194 |
| 163 and 171 | 27873 |