Least Common Multiple (LCM) of 131 and 72
The least common multiple (LCM) of 131 and 72 is 9432.
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 72?
First, calculate the GCD of 131 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 72 = 1 remainder 59 |
| 2 | 72 ÷ 59 = 1 remainder 13 |
| 3 | 59 ÷ 13 = 4 remainder 7 |
| 4 | 13 ÷ 7 = 1 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 155 | 620 |
| 91 and 164 | 14924 |
| 167 and 125 | 20875 |
| 103 and 185 | 19055 |
| 113 and 20 | 2260 |