Least Common Multiple (LCM) of 131 and 88
The least common multiple (LCM) of 131 and 88 is 11528.
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 88?
First, calculate the GCD of 131 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 88 = 1 remainder 43 |
| 2 | 88 ÷ 43 = 2 remainder 2 |
| 3 | 43 ÷ 2 = 21 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 29 | 1856 |
| 108 and 192 | 1728 |
| 157 and 160 | 25120 |
| 193 and 133 | 25669 |
| 116 and 78 | 4524 |