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 |
|---|---|
| 144 and 60 | 720 |
| 148 and 13 | 1924 |
| 135 and 117 | 1755 |
| 91 and 43 | 3913 |
| 166 and 66 | 5478 |