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 |
|---|---|
| 139 and 12 | 1668 |
| 139 and 66 | 9174 |
| 178 and 93 | 16554 |
| 111 and 135 | 4995 |
| 84 and 29 | 2436 |