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 |
|---|---|
| 170 and 158 | 13430 |
| 70 and 164 | 5740 |
| 92 and 200 | 4600 |
| 92 and 121 | 11132 |
| 43 and 15 | 645 |