Least Common Multiple (LCM) of 72 and 131
The least common multiple (LCM) of 72 and 131 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 72 and 131?
First, calculate the GCD of 72 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 72 ÷ 131 = 0 remainder 72 |
| 2 | 131 ÷ 72 = 1 remainder 59 |
| 3 | 72 ÷ 59 = 1 remainder 13 |
| 4 | 59 ÷ 13 = 4 remainder 7 |
| 5 | 13 ÷ 7 = 1 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 110 | 5170 |
| 129 and 78 | 3354 |
| 186 and 108 | 3348 |
| 186 and 101 | 18786 |
| 94 and 138 | 6486 |